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Simplifying -8m + -1(m + -6) = 6(-1m + -1) Reorder the terms: -8m + -1(-6 + m) = 6(-1m + -1) -8m + (-6 * -1 + m * -1) = 6(-1m + -1) -8m + (6 + -1m) = 6(-1m + -1) Reorder the terms: 6 + -8m + -1m = 6(-1m + -1) Combine like terms: -8m + -1m = -9m 6 + -9m = 6(-1m + -1) Reorder the terms: 6 + -9m = 6(-1 + -1m) 6 + -9m = (-1 * 6 + -1m * 6) 6 + -9m = (-6 + -6m) Solving 6 + -9m = -6 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 6 + -9m + 6m = -6 + -6m + 6m Combine like terms: -9m + 6m = -3m 6 + -3m = -6 + -6m + 6m Combine like terms: -6m + 6m = 0 6 + -3m = -6 + 0 6 + -3m = -6 Add '-6' to each side of the equation. 6 + -6 + -3m = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -3m = -6 + -6 -3m = -6 + -6 Combine like terms: -6 + -6 = -12 -3m = -12 Divide each side by '-3'. m = 4 Simplifying m = 4
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