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Simplifying 5(s + -12) + -24 = 3(s + 3) Reorder the terms: 5(-12 + s) + -24 = 3(s + 3) (-12 * 5 + s * 5) + -24 = 3(s + 3) (-60 + 5s) + -24 = 3(s + 3) Reorder the terms: -60 + -24 + 5s = 3(s + 3) Combine like terms: -60 + -24 = -84 -84 + 5s = 3(s + 3) Reorder the terms: -84 + 5s = 3(3 + s) -84 + 5s = (3 * 3 + s * 3) -84 + 5s = (9 + 3s) Solving -84 + 5s = 9 + 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 = 9 + 3s + -3s Combine like terms: 5s + -3s = 2s -84 + 2s = 9 + 3s + -3s Combine like terms: 3s + -3s = 0 -84 + 2s = 9 + 0 -84 + 2s = 9 Add '84' to each side of the equation. -84 + 84 + 2s = 9 + 84 Combine like terms: -84 + 84 = 0 0 + 2s = 9 + 84 2s = 9 + 84 Combine like terms: 9 + 84 = 93 2s = 93 Divide each side by '2'. s = 46.5 Simplifying s = 46.5
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