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Simplifying 3(4s + 12) = 8(3s + -14) Reorder the terms: 3(12 + 4s) = 8(3s + -14) (12 * 3 + 4s * 3) = 8(3s + -14) (36 + 12s) = 8(3s + -14) Reorder the terms: 36 + 12s = 8(-14 + 3s) 36 + 12s = (-14 * 8 + 3s * 8) 36 + 12s = (-112 + 24s) Solving 36 + 12s = -112 + 24s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-24s' to each side of the equation. 36 + 12s + -24s = -112 + 24s + -24s Combine like terms: 12s + -24s = -12s 36 + -12s = -112 + 24s + -24s Combine like terms: 24s + -24s = 0 36 + -12s = -112 + 0 36 + -12s = -112 Add '-36' to each side of the equation. 36 + -36 + -12s = -112 + -36 Combine like terms: 36 + -36 = 0 0 + -12s = -112 + -36 -12s = -112 + -36 Combine like terms: -112 + -36 = -148 -12s = -148 Divide each side by '-12'. s = 12.33333333 Simplifying s = 12.33333333
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