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Simplifying 5(s + -12) + -24 = -3(s + 2) Reorder the terms: 5(-12 + s) + -24 = -3(s + 2) (-12 * 5 + s * 5) + -24 = -3(s + 2) (-60 + 5s) + -24 = -3(s + 2) Reorder the terms: -60 + -24 + 5s = -3(s + 2) Combine like terms: -60 + -24 = -84 -84 + 5s = -3(s + 2) Reorder the terms: -84 + 5s = -3(2 + s) -84 + 5s = (2 * -3 + s * -3) -84 + 5s = (-6 + -3s) Solving -84 + 5s = -6 + -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 = -6 + -3s + 3s Combine like terms: 5s + 3s = 8s -84 + 8s = -6 + -3s + 3s Combine like terms: -3s + 3s = 0 -84 + 8s = -6 + 0 -84 + 8s = -6 Add '84' to each side of the equation. -84 + 84 + 8s = -6 + 84 Combine like terms: -84 + 84 = 0 0 + 8s = -6 + 84 8s = -6 + 84 Combine like terms: -6 + 84 = 78 8s = 78 Divide each side by '8'. s = 9.75 Simplifying s = 9.75
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