S+3=7(s+3)-(8-5s)-s

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Solution for S+3=7(s+3)-(8-5s)-s equation:


Simplifying
S + 3 = 7(s + 3) + -1(8 + -5s) + -1s

Reorder the terms:
3 + S = 7(s + 3) + -1(8 + -5s) + -1s

Reorder the terms:
3 + S = 7(3 + s) + -1(8 + -5s) + -1s
3 + S = (3 * 7 + s * 7) + -1(8 + -5s) + -1s
3 + S = (21 + 7s) + -1(8 + -5s) + -1s
3 + S = 21 + 7s + (8 * -1 + -5s * -1) + -1s
3 + S = 21 + 7s + (-8 + 5s) + -1s

Reorder the terms:
3 + S = 21 + -8 + 7s + 5s + -1s

Combine like terms: 21 + -8 = 13
3 + S = 13 + 7s + 5s + -1s

Combine like terms: 7s + 5s = 12s
3 + S = 13 + 12s + -1s

Combine like terms: 12s + -1s = 11s
3 + S = 13 + 11s

Solving
3 + S = 13 + 11s

Solving for variable 'S'.

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

Add '-3' to each side of the equation.
3 + -3 + S = 13 + -3 + 11s

Combine like terms: 3 + -3 = 0
0 + S = 13 + -3 + 11s
S = 13 + -3 + 11s

Combine like terms: 13 + -3 = 10
S = 10 + 11s

Simplifying
S = 10 + 11s

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