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Simplifying 3m + 12 = 6(m + -1) Reorder the terms: 12 + 3m = 6(m + -1) Reorder the terms: 12 + 3m = 6(-1 + m) 12 + 3m = (-1 * 6 + m * 6) 12 + 3m = (-6 + 6m) Solving 12 + 3m = -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. 12 + 3m + -6m = -6 + 6m + -6m Combine like terms: 3m + -6m = -3m 12 + -3m = -6 + 6m + -6m Combine like terms: 6m + -6m = 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 = -18 -3m = -18 Divide each side by '-3'. m = 6 Simplifying m = 6
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