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Simplifying 5(s + -12) + -24 = 3(s + 12) Reorder the terms: 5(-12 + s) + -24 = 3(s + 12) (-12 * 5 + s * 5) + -24 = 3(s + 12) (-60 + 5s) + -24 = 3(s + 12) Reorder the terms: -60 + -24 + 5s = 3(s + 12) Combine like terms: -60 + -24 = -84 -84 + 5s = 3(s + 12) Reorder the terms: -84 + 5s = 3(12 + s) -84 + 5s = (12 * 3 + s * 3) -84 + 5s = (36 + 3s) Solving -84 + 5s = 36 + 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. -84 + 5s + -3s = 36 + 3s + -3s Combine like terms: 5s + -3s = 2s -84 + 2s = 36 + 3s + -3s Combine like terms: 3s + -3s = 0 -84 + 2s = 36 + 0 -84 + 2s = 36 Add '84' to each side of the equation. -84 + 84 + 2s = 36 + 84 Combine like terms: -84 + 84 = 0 0 + 2s = 36 + 84 2s = 36 + 84 Combine like terms: 36 + 84 = 120 2s = 120 Divide each side by '2'. s = 60 Simplifying s = 60
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