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Simplifying 18(7s + 6) = -9(3s + -54) Reorder the terms: 18(6 + 7s) = -9(3s + -54) (6 * 18 + 7s * 18) = -9(3s + -54) (108 + 126s) = -9(3s + -54) Reorder the terms: 108 + 126s = -9(-54 + 3s) 108 + 126s = (-54 * -9 + 3s * -9) 108 + 126s = (486 + -27s) Solving 108 + 126s = 486 + -27s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '27s' to each side of the equation. 108 + 126s + 27s = 486 + -27s + 27s Combine like terms: 126s + 27s = 153s 108 + 153s = 486 + -27s + 27s Combine like terms: -27s + 27s = 0 108 + 153s = 486 + 0 108 + 153s = 486 Add '-108' to each side of the equation. 108 + -108 + 153s = 486 + -108 Combine like terms: 108 + -108 = 0 0 + 153s = 486 + -108 153s = 486 + -108 Combine like terms: 486 + -108 = 378 153s = 378 Divide each side by '153'. s = 2.470588235 Simplifying s = 2.470588235
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