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Simplifying 12 + 12m = 7(m + 6) Reorder the terms: 12 + 12m = 7(6 + m) 12 + 12m = (6 * 7 + m * 7) 12 + 12m = (42 + 7m) Solving 12 + 12m = 42 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 12 + 12m + -7m = 42 + 7m + -7m Combine like terms: 12m + -7m = 5m 12 + 5m = 42 + 7m + -7m Combine like terms: 7m + -7m = 0 12 + 5m = 42 + 0 12 + 5m = 42 Add '-12' to each side of the equation. 12 + -12 + 5m = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 5m = 42 + -12 5m = 42 + -12 Combine like terms: 42 + -12 = 30 5m = 30 Divide each side by '5'. m = 6 Simplifying m = 6
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