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Simplifying -6(m + -6) = 3(1 + -1m) Reorder the terms: -6(-6 + m) = 3(1 + -1m) (-6 * -6 + m * -6) = 3(1 + -1m) (36 + -6m) = 3(1 + -1m) 36 + -6m = (1 * 3 + -1m * 3) 36 + -6m = (3 + -3m) Solving 36 + -6m = 3 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 36 + -6m + 3m = 3 + -3m + 3m Combine like terms: -6m + 3m = -3m 36 + -3m = 3 + -3m + 3m Combine like terms: -3m + 3m = 0 36 + -3m = 3 + 0 36 + -3m = 3 Add '-36' to each side of the equation. 36 + -36 + -3m = 3 + -36 Combine like terms: 36 + -36 = 0 0 + -3m = 3 + -36 -3m = 3 + -36 Combine like terms: 3 + -36 = -33 -3m = -33 Divide each side by '-3'. m = 11 Simplifying m = 11
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