(-45t+53s) and (-3-75s+2t)

Add the expressions.

-45t+53s-3-75s+2t

Remove parentheses.

-45t+53s-3-75s+2t

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

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

Multiply 5 by 5.

25s+(-15-7s+6t)⋅315

Apply the distributive property.

25s-15⋅3-7s⋅3+6t⋅315

Simplify.

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)