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Simplifying 4(m + 2) + 4 = 5(m + 1) + 4 Reorder the terms: 4(2 + m) + 4 = 5(m + 1) + 4 (2 * 4 + m * 4) + 4 = 5(m + 1) + 4 (8 + 4m) + 4 = 5(m + 1) + 4 Reorder the terms: 8 + 4 + 4m = 5(m + 1) + 4 Combine like terms: 8 + 4 = 12 12 + 4m = 5(m + 1) + 4 Reorder the terms: 12 + 4m = 5(1 + m) + 4 12 + 4m = (1 * 5 + m * 5) + 4 12 + 4m = (5 + 5m) + 4 Reorder the terms: 12 + 4m = 5 + 4 + 5m Combine like terms: 5 + 4 = 9 12 + 4m = 9 + 5m Solving 12 + 4m = 9 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 12 + 4m + -5m = 9 + 5m + -5m Combine like terms: 4m + -5m = -1m 12 + -1m = 9 + 5m + -5m Combine like terms: 5m + -5m = 0 12 + -1m = 9 + 0 12 + -1m = 9 Add '-12' to each side of the equation. 12 + -12 + -1m = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -1m = 9 + -12 -1m = 9 + -12 Combine like terms: 9 + -12 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3
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