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Simplifying 5m + 23 = 4(3m + 4) Reorder the terms: 23 + 5m = 4(3m + 4) Reorder the terms: 23 + 5m = 4(4 + 3m) 23 + 5m = (4 * 4 + 3m * 4) 23 + 5m = (16 + 12m) Solving 23 + 5m = 16 + 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. 23 + 5m + -12m = 16 + 12m + -12m Combine like terms: 5m + -12m = -7m 23 + -7m = 16 + 12m + -12m Combine like terms: 12m + -12m = 0 23 + -7m = 16 + 0 23 + -7m = 16 Add '-23' to each side of the equation. 23 + -23 + -7m = 16 + -23 Combine like terms: 23 + -23 = 0 0 + -7m = 16 + -23 -7m = 16 + -23 Combine like terms: 16 + -23 = -7 -7m = -7 Divide each side by '-7'. m = 1 Simplifying m = 1
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