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