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Simplifying -2(3S + -5) + -10 = -3(9S + 3) + -4 Reorder the terms: -2(-5 + 3S) + -10 = -3(9S + 3) + -4 (-5 * -2 + 3S * -2) + -10 = -3(9S + 3) + -4 (10 + -6S) + -10 = -3(9S + 3) + -4 Reorder the terms: 10 + -10 + -6S = -3(9S + 3) + -4 Combine like terms: 10 + -10 = 0 0 + -6S = -3(9S + 3) + -4 -6S = -3(9S + 3) + -4 Reorder the terms: -6S = -3(3 + 9S) + -4 -6S = (3 * -3 + 9S * -3) + -4 -6S = (-9 + -27S) + -4 Reorder the terms: -6S = -9 + -4 + -27S Combine like terms: -9 + -4 = -13 -6S = -13 + -27S Solving -6S = -13 + -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. -6S + 27S = -13 + -27S + 27S Combine like terms: -6S + 27S = 21S 21S = -13 + -27S + 27S Combine like terms: -27S + 27S = 0 21S = -13 + 0 21S = -13 Divide each side by '21'. S = -0.619047619 Simplifying S = -0.619047619
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