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Simplifying -3(5S + -5) = -2(9S + 2) + -2 Reorder the terms: -3(-5 + 5S) = -2(9S + 2) + -2 (-5 * -3 + 5S * -3) = -2(9S + 2) + -2 (15 + -15S) = -2(9S + 2) + -2 Reorder the terms: 15 + -15S = -2(2 + 9S) + -2 15 + -15S = (2 * -2 + 9S * -2) + -2 15 + -15S = (-4 + -18S) + -2 Reorder the terms: 15 + -15S = -4 + -2 + -18S Combine like terms: -4 + -2 = -6 15 + -15S = -6 + -18S Solving 15 + -15S = -6 + -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. 15 + -15S + 18S = -6 + -18S + 18S Combine like terms: -15S + 18S = 3S 15 + 3S = -6 + -18S + 18S Combine like terms: -18S + 18S = 0 15 + 3S = -6 + 0 15 + 3S = -6 Add '-15' to each side of the equation. 15 + -15 + 3S = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 3S = -6 + -15 3S = -6 + -15 Combine like terms: -6 + -15 = -21 3S = -21 Divide each side by '3'. S = -7 Simplifying S = -7
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