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Simplifying 9(2s + 12) = 18(s + 5) + -24s Reorder the terms: 9(12 + 2s) = 18(s + 5) + -24s (12 * 9 + 2s * 9) = 18(s + 5) + -24s (108 + 18s) = 18(s + 5) + -24s Reorder the terms: 108 + 18s = 18(5 + s) + -24s 108 + 18s = (5 * 18 + s * 18) + -24s 108 + 18s = (90 + 18s) + -24s Combine like terms: 18s + -24s = -6s 108 + 18s = 90 + -6s Solving 108 + 18s = 90 + -6s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '6s' to each side of the equation. 108 + 18s + 6s = 90 + -6s + 6s Combine like terms: 18s + 6s = 24s 108 + 24s = 90 + -6s + 6s Combine like terms: -6s + 6s = 0 108 + 24s = 90 + 0 108 + 24s = 90 Add '-108' to each side of the equation. 108 + -108 + 24s = 90 + -108 Combine like terms: 108 + -108 = 0 0 + 24s = 90 + -108 24s = 90 + -108 Combine like terms: 90 + -108 = -18 24s = -18 Divide each side by '24'. s = -0.75 Simplifying s = -0.75
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