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Simplifying -3(5S + -6) + -18 = -3(7S + 3) + -4 Reorder the terms: -3(-6 + 5S) + -18 = -3(7S + 3) + -4 (-6 * -3 + 5S * -3) + -18 = -3(7S + 3) + -4 (18 + -15S) + -18 = -3(7S + 3) + -4 Reorder the terms: 18 + -18 + -15S = -3(7S + 3) + -4 Combine like terms: 18 + -18 = 0 0 + -15S = -3(7S + 3) + -4 -15S = -3(7S + 3) + -4 Reorder the terms: -15S = -3(3 + 7S) + -4 -15S = (3 * -3 + 7S * -3) + -4 -15S = (-9 + -21S) + -4 Reorder the terms: -15S = -9 + -4 + -21S Combine like terms: -9 + -4 = -13 -15S = -13 + -21S Solving -15S = -13 + -21S Solving for variable 'S'. Move all terms containing S to the left, all other terms to the right. Add '21S' to each side of the equation. -15S + 21S = -13 + -21S + 21S Combine like terms: -15S + 21S = 6S 6S = -13 + -21S + 21S Combine like terms: -21S + 21S = 0 6S = -13 + 0 6S = -13 Divide each side by '6'. S = -2.166666667 Simplifying S = -2.166666667
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