3(s-13)+2(s-7)=7

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Solution for 3(s-13)+2(s-7)=7 equation: 


Simplifying
3(s + -13) + 2(s + -7) = 7

Reorder the terms:
3(-13 + s) + 2(s + -7) = 7
(-13 * 3 + s * 3) + 2(s + -7) = 7
(-39 + 3s) + 2(s + -7) = 7

Reorder the terms:
-39 + 3s + 2(-7 + s) = 7
-39 + 3s + (-7 * 2 + s * 2) = 7
-39 + 3s + (-14 + 2s) = 7

Reorder the terms:
-39 + -14 + 3s + 2s = 7

Combine like terms: -39 + -14 = -53
-53 + 3s + 2s = 7

Combine like terms: 3s + 2s = 5s
-53 + 5s = 7

Solving
-53 + 5s = 7

Solving for variable 's'.

Move all terms containing s to the left, all other terms to the right.

Add '53' to each side of the equation.
-53 + 53 + 5s = 7 + 53

Combine like terms: -53 + 53 = 0
0 + 5s = 7 + 53
5s = 7 + 53

Combine like terms: 7 + 53 = 60
5s = 60

Divide each side by '5'.
s = 12

Simplifying
s = 12

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