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Simplifying 12 + 2m = 7(m + 7) Reorder the terms: 12 + 2m = 7(7 + m) 12 + 2m = (7 * 7 + m * 7) 12 + 2m = (49 + 7m) Solving 12 + 2m = 49 + 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 = 49 + 7m + -7m Combine like terms: 2m + -7m = -5m 12 + -5m = 49 + 7m + -7m Combine like terms: 7m + -7m = 0 12 + -5m = 49 + 0 12 + -5m = 49 Add '-12' to each side of the equation. 12 + -12 + -5m = 49 + -12 Combine like terms: 12 + -12 = 0 0 + -5m = 49 + -12 -5m = 49 + -12 Combine like terms: 49 + -12 = 37 -5m = 37 Divide each side by '-5'. m = -7.4 Simplifying m = -7.4
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