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Simplifying 5(m + 4) + 6 = 4(4 + m) + 2m + -1 Reorder the terms: 5(4 + m) + 6 = 4(4 + m) + 2m + -1 (4 * 5 + m * 5) + 6 = 4(4 + m) + 2m + -1 (20 + 5m) + 6 = 4(4 + m) + 2m + -1 Reorder the terms: 20 + 6 + 5m = 4(4 + m) + 2m + -1 Combine like terms: 20 + 6 = 26 26 + 5m = 4(4 + m) + 2m + -1 26 + 5m = (4 * 4 + m * 4) + 2m + -1 26 + 5m = (16 + 4m) + 2m + -1 Reorder the terms: 26 + 5m = 16 + -1 + 4m + 2m Combine like terms: 16 + -1 = 15 26 + 5m = 15 + 4m + 2m Combine like terms: 4m + 2m = 6m 26 + 5m = 15 + 6m Solving 26 + 5m = 15 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 26 + 5m + -6m = 15 + 6m + -6m Combine like terms: 5m + -6m = -1m 26 + -1m = 15 + 6m + -6m Combine like terms: 6m + -6m = 0 26 + -1m = 15 + 0 26 + -1m = 15 Add '-26' to each side of the equation. 26 + -26 + -1m = 15 + -26 Combine like terms: 26 + -26 = 0 0 + -1m = 15 + -26 -1m = 15 + -26 Combine like terms: 15 + -26 = -11 -1m = -11 Divide each side by '-1'. m = 11 Simplifying m = 11
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