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Simplifying 3m + 4m + -12 = 2(m + 4) Reorder the terms: -12 + 3m + 4m = 2(m + 4) Combine like terms: 3m + 4m = 7m -12 + 7m = 2(m + 4) Reorder the terms: -12 + 7m = 2(4 + m) -12 + 7m = (4 * 2 + m * 2) -12 + 7m = (8 + 2m) Solving -12 + 7m = 8 + 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 + 7m + -2m = 8 + 2m + -2m Combine like terms: 7m + -2m = 5m -12 + 5m = 8 + 2m + -2m Combine like terms: 2m + -2m = 0 -12 + 5m = 8 + 0 -12 + 5m = 8 Add '12' to each side of the equation. -12 + 12 + 5m = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 5m = 8 + 12 5m = 8 + 12 Combine like terms: 8 + 12 = 20 5m = 20 Divide each side by '5'. m = 4 Simplifying m = 4
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