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Simplifying -3(3S + -5) + -15 = -3(6S + 5) + -5 Reorder the terms: -3(-5 + 3S) + -15 = -3(6S + 5) + -5 (-5 * -3 + 3S * -3) + -15 = -3(6S + 5) + -5 (15 + -9S) + -15 = -3(6S + 5) + -5 Reorder the terms: 15 + -15 + -9S = -3(6S + 5) + -5 Combine like terms: 15 + -15 = 0 0 + -9S = -3(6S + 5) + -5 -9S = -3(6S + 5) + -5 Reorder the terms: -9S = -3(5 + 6S) + -5 -9S = (5 * -3 + 6S * -3) + -5 -9S = (-15 + -18S) + -5 Reorder the terms: -9S = -15 + -5 + -18S Combine like terms: -15 + -5 = -20 -9S = -20 + -18S Solving -9S = -20 + -18S Solving for variable 'S'. Move all terms containing S to the left, all other terms to the right. Add '18S' to each side of the equation. -9S + 18S = -20 + -18S + 18S Combine like terms: -9S + 18S = 9S 9S = -20 + -18S + 18S Combine like terms: -18S + 18S = 0 9S = -20 + 0 9S = -20 Divide each side by '9'. S = -2.222222222 Simplifying S = -2.222222222
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