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Simplifying -9(14s + -4) = 18 + -9(16s + -10) Reorder the terms: -9(-4 + 14s) = 18 + -9(16s + -10) (-4 * -9 + 14s * -9) = 18 + -9(16s + -10) (36 + -126s) = 18 + -9(16s + -10) Reorder the terms: 36 + -126s = 18 + -9(-10 + 16s) 36 + -126s = 18 + (-10 * -9 + 16s * -9) 36 + -126s = 18 + (90 + -144s) Combine like terms: 18 + 90 = 108 36 + -126s = 108 + -144s Solving 36 + -126s = 108 + -144s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '144s' to each side of the equation. 36 + -126s + 144s = 108 + -144s + 144s Combine like terms: -126s + 144s = 18s 36 + 18s = 108 + -144s + 144s Combine like terms: -144s + 144s = 0 36 + 18s = 108 + 0 36 + 18s = 108 Add '-36' to each side of the equation. 36 + -36 + 18s = 108 + -36 Combine like terms: 36 + -36 = 0 0 + 18s = 108 + -36 18s = 108 + -36 Combine like terms: 108 + -36 = 72 18s = 72 Divide each side by '18'. s = 4 Simplifying s = 4
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