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Simplifying 5(m + 4) = 2(m + 2) + 4 Reorder the terms: 5(4 + m) = 2(m + 2) + 4 (4 * 5 + m * 5) = 2(m + 2) + 4 (20 + 5m) = 2(m + 2) + 4 Reorder the terms: 20 + 5m = 2(2 + m) + 4 20 + 5m = (2 * 2 + m * 2) + 4 20 + 5m = (4 + 2m) + 4 Reorder the terms: 20 + 5m = 4 + 4 + 2m Combine like terms: 4 + 4 = 8 20 + 5m = 8 + 2m Solving 20 + 5m = 8 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 20 + 5m + -2m = 8 + 2m + -2m Combine like terms: 5m + -2m = 3m 20 + 3m = 8 + 2m + -2m Combine like terms: 2m + -2m = 0 20 + 3m = 8 + 0 20 + 3m = 8 Add '-20' to each side of the equation. 20 + -20 + 3m = 8 + -20 Combine like terms: 20 + -20 = 0 0 + 3m = 8 + -20 3m = 8 + -20 Combine like terms: 8 + -20 = -12 3m = -12 Divide each side by '3'. m = -4 Simplifying m = -4
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