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Simplifying -5(3m + 6) = 2(x + -6) Reorder the terms: -5(6 + 3m) = 2(x + -6) (6 * -5 + 3m * -5) = 2(x + -6) (-30 + -15m) = 2(x + -6) Reorder the terms: -30 + -15m = 2(-6 + x) -30 + -15m = (-6 * 2 + x * 2) -30 + -15m = (-12 + 2x) Solving -30 + -15m = -12 + 2x Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -15m = -12 + 30 + 2x Combine like terms: -30 + 30 = 0 0 + -15m = -12 + 30 + 2x -15m = -12 + 30 + 2x Combine like terms: -12 + 30 = 18 -15m = 18 + 2x Divide each side by '-15'. m = -1.2 + -0.1333333333x Simplifying m = -1.2 + -0.1333333333x
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