8(s+3)=6(s-6)

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Solution for 8(s+3)=6(s-6) equation:


Simplifying
8(s + 3) = 6(s + -6)

Reorder the terms:
8(3 + s) = 6(s + -6)
(3 * 8 + s * 8) = 6(s + -6)
(24 + 8s) = 6(s + -6)

Reorder the terms:
24 + 8s = 6(-6 + s)
24 + 8s = (-6 * 6 + s * 6)
24 + 8s = (-36 + 6s)

Solving
24 + 8s = -36 + 6s

Solving for variable 's'.

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

Add '-6s' to each side of the equation.
24 + 8s + -6s = -36 + 6s + -6s

Combine like terms: 8s + -6s = 2s
24 + 2s = -36 + 6s + -6s

Combine like terms: 6s + -6s = 0
24 + 2s = -36 + 0
24 + 2s = -36

Add '-24' to each side of the equation.
24 + -24 + 2s = -36 + -24

Combine like terms: 24 + -24 = 0
0 + 2s = -36 + -24
2s = -36 + -24

Combine like terms: -36 + -24 = -60
2s = -60

Divide each side by '2'.
s = -30

Simplifying
s = -30

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