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Simplifying 8(4s + 12) = 8(3s + -14) Reorder the terms: 8(12 + 4s) = 8(3s + -14) (12 * 8 + 4s * 8) = 8(3s + -14) (96 + 32s) = 8(3s + -14) Reorder the terms: 96 + 32s = 8(-14 + 3s) 96 + 32s = (-14 * 8 + 3s * 8) 96 + 32s = (-112 + 24s) Solving 96 + 32s = -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. 96 + 32s + -24s = -112 + 24s + -24s Combine like terms: 32s + -24s = 8s 96 + 8s = -112 + 24s + -24s Combine like terms: 24s + -24s = 0 96 + 8s = -112 + 0 96 + 8s = -112 Add '-96' to each side of the equation. 96 + -96 + 8s = -112 + -96 Combine like terms: 96 + -96 = 0 0 + 8s = -112 + -96 8s = -112 + -96 Combine like terms: -112 + -96 = -208 8s = -208 Divide each side by '8'. s = -26 Simplifying s = -26
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