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Simplifying 5(s + -12) + -24 = 3s + 6 Reorder the terms: 5(-12 + s) + -24 = 3s + 6 (-12 * 5 + s * 5) + -24 = 3s + 6 (-60 + 5s) + -24 = 3s + 6 Reorder the terms: -60 + -24 + 5s = 3s + 6 Combine like terms: -60 + -24 = -84 -84 + 5s = 3s + 6 Reorder the terms: -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 = 2s -84 + 2s = 6 + 3s + -3s Combine like terms: 3s + -3s = 0 -84 + 2s = 6 + 0 -84 + 2s = 6 Add '84' to each side of the equation. -84 + 84 + 2s = 6 + 84 Combine like terms: -84 + 84 = 0 0 + 2s = 6 + 84 2s = 6 + 84 Combine like terms: 6 + 84 = 90 2s = 90 Divide each side by '2'. s = 45 Simplifying s = 45
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