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Simplifying -2(5S + -4) + -8 = -3(9S + 3) + -5 Reorder the terms: -2(-4 + 5S) + -8 = -3(9S + 3) + -5 (-4 * -2 + 5S * -2) + -8 = -3(9S + 3) + -5 (8 + -10S) + -8 = -3(9S + 3) + -5 Reorder the terms: 8 + -8 + -10S = -3(9S + 3) + -5 Combine like terms: 8 + -8 = 0 0 + -10S = -3(9S + 3) + -5 -10S = -3(9S + 3) + -5 Reorder the terms: -10S = -3(3 + 9S) + -5 -10S = (3 * -3 + 9S * -3) + -5 -10S = (-9 + -27S) + -5 Reorder the terms: -10S = -9 + -5 + -27S Combine like terms: -9 + -5 = -14 -10S = -14 + -27S Solving -10S = -14 + -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. -10S + 27S = -14 + -27S + 27S Combine like terms: -10S + 27S = 17S 17S = -14 + -27S + 27S Combine like terms: -27S + 27S = 0 17S = -14 + 0 17S = -14 Divide each side by '17'. S = -0.8235294118 Simplifying S = -0.8235294118
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