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Simplifying 3m + 12 = 2(m + -3) + 4 Reorder the terms: 12 + 3m = 2(m + -3) + 4 Reorder the terms: 12 + 3m = 2(-3 + m) + 4 12 + 3m = (-3 * 2 + m * 2) + 4 12 + 3m = (-6 + 2m) + 4 Reorder the terms: 12 + 3m = -6 + 4 + 2m Combine like terms: -6 + 4 = -2 12 + 3m = -2 + 2m Solving 12 + 3m = -2 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 12 + 3m + -2m = -2 + 2m + -2m Combine like terms: 3m + -2m = 1m 12 + 1m = -2 + 2m + -2m Combine like terms: 2m + -2m = 0 12 + 1m = -2 + 0 12 + 1m = -2 Add '-12' to each side of the equation. 12 + -12 + 1m = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 1m = -2 + -12 1m = -2 + -12 Combine like terms: -2 + -12 = -14 1m = -14 Divide each side by '1'. m = -14 Simplifying m = -14
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