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Simplifying 6(m + -2) = 3m + -6 Reorder the terms: 6(-2 + m) = 3m + -6 (-2 * 6 + m * 6) = 3m + -6 (-12 + 6m) = 3m + -6 Reorder the terms: -12 + 6m = -6 + 3m Solving -12 + 6m = -6 + 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. -12 + 6m + -3m = -6 + 3m + -3m Combine like terms: 6m + -3m = 3m -12 + 3m = -6 + 3m + -3m Combine like terms: 3m + -3m = 0 -12 + 3m = -6 + 0 -12 + 3m = -6 Add '12' to each side of the equation. -12 + 12 + 3m = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 3m = -6 + 12 3m = -6 + 12 Combine like terms: -6 + 12 = 6 3m = 6 Divide each side by '3'. m = 2 Simplifying m = 2
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