-3(2s-6)18=2(7s+4)-3

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Solution for -3(2s-6)18=2(7s+4)-3 equation:


Simplifying
-3(2s + -6) * 18 = 2(7s + 4) + -3

Reorder the terms:
-3(-6 + 2s) * 18 = 2(7s + 4) + -3

Reorder the terms for easier multiplication:
-3 * 18(-6 + 2s) = 2(7s + 4) + -3

Multiply -3 * 18
-54(-6 + 2s) = 2(7s + 4) + -3
(-6 * -54 + 2s * -54) = 2(7s + 4) + -3
(324 + -108s) = 2(7s + 4) + -3

Reorder the terms:
324 + -108s = 2(4 + 7s) + -3
324 + -108s = (4 * 2 + 7s * 2) + -3
324 + -108s = (8 + 14s) + -3

Reorder the terms:
324 + -108s = 8 + -3 + 14s

Combine like terms: 8 + -3 = 5
324 + -108s = 5 + 14s

Solving
324 + -108s = 5 + 14s

Solving for variable 's'.

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

Add '-14s' to each side of the equation.
324 + -108s + -14s = 5 + 14s + -14s

Combine like terms: -108s + -14s = -122s
324 + -122s = 5 + 14s + -14s

Combine like terms: 14s + -14s = 0
324 + -122s = 5 + 0
324 + -122s = 5

Add '-324' to each side of the equation.
324 + -324 + -122s = 5 + -324

Combine like terms: 324 + -324 = 0
0 + -122s = 5 + -324
-122s = 5 + -324

Combine like terms: 5 + -324 = -319
-122s = -319

Divide each side by '-122'.
s = 2.614754098

Simplifying
s = 2.614754098

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