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Simplifying 12 + 2m = 7[m + 6] Reorder the terms: 12 + 2m = 7[6 + m] 12 + 2m = [6 * 7 + m * 7] 12 + 2m = [42 + 7m] Solving 12 + 2m = 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 + 2m + -7m = 42 + 7m + -7m Combine like terms: 2m + -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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