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Simplifying -3(6S + 4) + 6(S + -6) = 0 Reorder the terms: -3(4 + 6S) + 6(S + -6) = 0 (4 * -3 + 6S * -3) + 6(S + -6) = 0 (-12 + -18S) + 6(S + -6) = 0 Reorder the terms: -12 + -18S + 6(-6 + S) = 0 -12 + -18S + (-6 * 6 + S * 6) = 0 -12 + -18S + (-36 + 6S) = 0 Reorder the terms: -12 + -36 + -18S + 6S = 0 Combine like terms: -12 + -36 = -48 -48 + -18S + 6S = 0 Combine like terms: -18S + 6S = -12S -48 + -12S = 0 Solving -48 + -12S = 0 Solving for variable 'S'. Move all terms containing S to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -12S = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -12S = 0 + 48 -12S = 0 + 48 Combine like terms: 0 + 48 = 48 -12S = 48 Divide each side by '-12'. S = -4 Simplifying S = -4
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