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Simplifying 9(14s + -3) + -14s = 5(s + 16) Reorder the terms: 9(-3 + 14s) + -14s = 5(s + 16) (-3 * 9 + 14s * 9) + -14s = 5(s + 16) (-27 + 126s) + -14s = 5(s + 16) Combine like terms: 126s + -14s = 112s -27 + 112s = 5(s + 16) Reorder the terms: -27 + 112s = 5(16 + s) -27 + 112s = (16 * 5 + s * 5) -27 + 112s = (80 + 5s) Solving -27 + 112s = 80 + 5s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-5s' to each side of the equation. -27 + 112s + -5s = 80 + 5s + -5s Combine like terms: 112s + -5s = 107s -27 + 107s = 80 + 5s + -5s Combine like terms: 5s + -5s = 0 -27 + 107s = 80 + 0 -27 + 107s = 80 Add '27' to each side of the equation. -27 + 27 + 107s = 80 + 27 Combine like terms: -27 + 27 = 0 0 + 107s = 80 + 27 107s = 80 + 27 Combine like terms: 80 + 27 = 107 107s = 107 Divide each side by '107'. s = 1 Simplifying s = 1
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