10-7(3-s)+2(s+4)=30

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Solution for 10-7(3-s)+2(s+4)=30 equation: 


Simplifying
10 + -7(3 + -1s) + 2(s + 4) = 30
10 + (3 * -7 + -1s * -7) + 2(s + 4) = 30
10 + (-21 + 7s) + 2(s + 4) = 30

Reorder the terms:
10 + -21 + 7s + 2(4 + s) = 30
10 + -21 + 7s + (4 * 2 + s * 2) = 30
10 + -21 + 7s + (8 + 2s) = 30

Reorder the terms:
10 + -21 + 8 + 7s + 2s = 30

Combine like terms: 10 + -21 = -11
-11 + 8 + 7s + 2s = 30

Combine like terms: -11 + 8 = -3
-3 + 7s + 2s = 30

Combine like terms: 7s + 2s = 9s
-3 + 9s = 30

Solving
-3 + 9s = 30

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 + 9s = 30 + 3

Combine like terms: -3 + 3 = 0
0 + 9s = 30 + 3
9s = 30 + 3

Combine like terms: 30 + 3 = 33
9s = 33

Divide each side by '9'.
s = 3.666666667

Simplifying
s = 3.666666667

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