Add (-4/5t+5/3s) and (-3-7/5s+2t)

Math
(-45t+53s) and (-3-75s+2t)
Add the expressions.
-45t+53s-3-75s+2t
Remove parentheses.
-45t+53s-3-75s+2t
Simplify each term.
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Combine t and 45.
-t⋅45+53s-3-75s+2t
Move 4 to the left of t.
-4⋅t5+53s-3-75s+2t
Combine 53 and s.
-4t5+5s3-3-75s+2t
Combine s and 75.
-4t5+5s3-3-s⋅75+2t
Move 7 to the left of s.
-4t5+5s3-3-7s5+2t
-4t5+5s3-3-7s5+2t
To write 2t as a fraction with a common denominator, multiply by 55.
5s3-3-7s5-4t5+2t⋅55
Combine 2t and 55.
5s3-3-7s5-4t5+2t⋅55
Combine the numerators over the common denominator.
5s3-3-7s5+-4t+2t⋅55
Combine the numerators over the common denominator.
-3+5s3+-7s-4t+2t⋅55
Multiply 5 by 2.
-3+5s3+-7s-4t+10t5
Add -4t and 10t.
-3+5s3+-7s+6t5
To write -3 as a fraction with a common denominator, multiply by 55.
5s3-3⋅55+-7s+6t5
Combine -3 and 55.
5s3+-3⋅55+-7s+6t5
Combine the numerators over the common denominator.
5s3+-3⋅5-7s+6t5
Multiply -3 by 5.
5s3+-15-7s+6t5
To write 5s3 as a fraction with a common denominator, multiply by 55.
5s3⋅55+-15-7s+6t5
To write -15-7s+6t5 as a fraction with a common denominator, multiply by 33.
5s3⋅55+-15-7s+6t5⋅33
Write each expression with a common denominator of 15, by multiplying each by an appropriate factor of 1.
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Multiply 5s3 and 55.
5s⋅53⋅5+-15-7s+6t5⋅33
Multiply 3 by 5.
5s⋅515+-15-7s+6t5⋅33
Multiply -15-7s+6t5 and 33.
5s⋅515+(-15-7s+6t)⋅35⋅3
Multiply 5 by 3.
5s⋅515+(-15-7s+6t)⋅315
5s⋅515+(-15-7s+6t)⋅315
Combine the numerators over the common denominator.
5s⋅5+(-15-7s+6t)⋅315
Simplify the numerator.
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Multiply 5 by 5.
25s+(-15-7s+6t)⋅315
Apply the distributive property.
25s-15⋅3-7s⋅3+6t⋅315
Simplify.
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Multiply -15 by 3.
25s-45-7s⋅3+6t⋅315
Multiply 3 by -7.
25s-45-21s+6t⋅315
Multiply 3 by 6.
25s-45-21s+18t15
25s-45-21s+18t15
Subtract 21s from 25s.
4s-45+18t15
4s-45+18t15
Add (-4/5t+5/3s) and (-3-7/5s+2t)

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