10=-2(s+2)+3(s-10)

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


Simplifying
10 = -2(s + 2) + 3(s + -10)

Reorder the terms:
10 = -2(2 + s) + 3(s + -10)
10 = (2 * -2 + s * -2) + 3(s + -10)
10 = (-4 + -2s) + 3(s + -10)

Reorder the terms:
10 = -4 + -2s + 3(-10 + s)
10 = -4 + -2s + (-10 * 3 + s * 3)
10 = -4 + -2s + (-30 + 3s)

Reorder the terms:
10 = -4 + -30 + -2s + 3s

Combine like terms: -4 + -30 = -34
10 = -34 + -2s + 3s

Combine like terms: -2s + 3s = 1s
10 = -34 + 1s

Solving
10 = -34 + 1s

Solving for variable 's'.

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

Add '-1s' to each side of the equation.
10 + -1s = -34 + 1s + -1s

Combine like terms: 1s + -1s = 0
10 + -1s = -34 + 0
10 + -1s = -34

Add '-10' to each side of the equation.
10 + -10 + -1s = -34 + -10

Combine like terms: 10 + -10 = 0
0 + -1s = -34 + -10
-1s = -34 + -10

Combine like terms: -34 + -10 = -44
-1s = -44

Divide each side by '-1'.
s = 44

Simplifying
s = 44

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