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Simplifying 40m + 12 = 4(5m + 48) Reorder the terms: 12 + 40m = 4(5m + 48) Reorder the terms: 12 + 40m = 4(48 + 5m) 12 + 40m = (48 * 4 + 5m * 4) 12 + 40m = (192 + 20m) Solving 12 + 40m = 192 + 20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20m' to each side of the equation. 12 + 40m + -20m = 192 + 20m + -20m Combine like terms: 40m + -20m = 20m 12 + 20m = 192 + 20m + -20m Combine like terms: 20m + -20m = 0 12 + 20m = 192 + 0 12 + 20m = 192 Add '-12' to each side of the equation. 12 + -12 + 20m = 192 + -12 Combine like terms: 12 + -12 = 0 0 + 20m = 192 + -12 20m = 192 + -12 Combine like terms: 192 + -12 = 180 20m = 180 Divide each side by '20'. m = 9 Simplifying m = 9
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