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Simplifying 7(m + 1) = 4(3m + 6) Reorder the terms: 7(1 + m) = 4(3m + 6) (1 * 7 + m * 7) = 4(3m + 6) (7 + 7m) = 4(3m + 6) Reorder the terms: 7 + 7m = 4(6 + 3m) 7 + 7m = (6 * 4 + 3m * 4) 7 + 7m = (24 + 12m) Solving 7 + 7m = 24 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 7 + 7m + -12m = 24 + 12m + -12m Combine like terms: 7m + -12m = -5m 7 + -5m = 24 + 12m + -12m Combine like terms: 12m + -12m = 0 7 + -5m = 24 + 0 7 + -5m = 24 Add '-7' to each side of the equation. 7 + -7 + -5m = 24 + -7 Combine like terms: 7 + -7 = 0 0 + -5m = 24 + -7 -5m = 24 + -7 Combine like terms: 24 + -7 = 17 -5m = 17 Divide each side by '-5'. m = -3.4 Simplifying m = -3.4
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