9(2s+6)=18(s+2)-24s

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Solution for 9(2s+6)=18(s+2)-24s equation:


Simplifying
9(2s + 6) = 18(s + 2) + -24s

Reorder the terms:
9(6 + 2s) = 18(s + 2) + -24s
(6 * 9 + 2s * 9) = 18(s + 2) + -24s
(54 + 18s) = 18(s + 2) + -24s

Reorder the terms:
54 + 18s = 18(2 + s) + -24s
54 + 18s = (2 * 18 + s * 18) + -24s
54 + 18s = (36 + 18s) + -24s

Combine like terms: 18s + -24s = -6s
54 + 18s = 36 + -6s

Solving
54 + 18s = 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.
54 + 18s + 6s = 36 + -6s + 6s

Combine like terms: 18s + 6s = 24s
54 + 24s = 36 + -6s + 6s

Combine like terms: -6s + 6s = 0
54 + 24s = 36 + 0
54 + 24s = 36

Add '-54' to each side of the equation.
54 + -54 + 24s = 36 + -54

Combine like terms: 54 + -54 = 0
0 + 24s = 36 + -54
24s = 36 + -54

Combine like terms: 36 + -54 = -18
24s = -18

Divide each side by '24'.
s = -0.75

Simplifying
s = -0.75

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