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Simplifying 3(s + 32) = 4(s + 12) Reorder the terms: 3(32 + s) = 4(s + 12) (32 * 3 + s * 3) = 4(s + 12) (96 + 3s) = 4(s + 12) Reorder the terms: 96 + 3s = 4(12 + s) 96 + 3s = (12 * 4 + s * 4) 96 + 3s = (48 + 4s) Solving 96 + 3s = 48 + 4s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-4s' to each side of the equation. 96 + 3s + -4s = 48 + 4s + -4s Combine like terms: 3s + -4s = -1s 96 + -1s = 48 + 4s + -4s Combine like terms: 4s + -4s = 0 96 + -1s = 48 + 0 96 + -1s = 48 Add '-96' to each side of the equation. 96 + -96 + -1s = 48 + -96 Combine like terms: 96 + -96 = 0 0 + -1s = 48 + -96 -1s = 48 + -96 Combine like terms: 48 + -96 = -48 -1s = -48 Divide each side by '-1'. s = 48 Simplifying s = 48
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