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Simplifying 12m + 12 = 6(3m + 3) Reorder the terms: 12 + 12m = 6(3m + 3) Reorder the terms: 12 + 12m = 6(3 + 3m) 12 + 12m = (3 * 6 + 3m * 6) 12 + 12m = (18 + 18m) Solving 12 + 12m = 18 + 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. 12 + 12m + -18m = 18 + 18m + -18m Combine like terms: 12m + -18m = -6m 12 + -6m = 18 + 18m + -18m Combine like terms: 18m + -18m = 0 12 + -6m = 18 + 0 12 + -6m = 18 Add '-12' to each side of the equation. 12 + -12 + -6m = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -6m = 18 + -12 -6m = 18 + -12 Combine like terms: 18 + -12 = 6 -6m = 6 Divide each side by '-6'. m = -1 Simplifying m = -1
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