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Simplifying -6(1 + -2m) = 6(-6 + -3m) (1 * -6 + -2m * -6) = 6(-6 + -3m) (-6 + 12m) = 6(-6 + -3m) -6 + 12m = (-6 * 6 + -3m * 6) -6 + 12m = (-36 + -18m) Solving -6 + 12m = -36 + -18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '18m' to each side of the equation. -6 + 12m + 18m = -36 + -18m + 18m Combine like terms: 12m + 18m = 30m -6 + 30m = -36 + -18m + 18m Combine like terms: -18m + 18m = 0 -6 + 30m = -36 + 0 -6 + 30m = -36 Add '6' to each side of the equation. -6 + 6 + 30m = -36 + 6 Combine like terms: -6 + 6 = 0 0 + 30m = -36 + 6 30m = -36 + 6 Combine like terms: -36 + 6 = -30 30m = -30 Divide each side by '30'. m = -1 Simplifying m = -1
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