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Simplifying 5(m + 4) + -6 = 2m + 8 Reorder the terms: 5(4 + m) + -6 = 2m + 8 (4 * 5 + m * 5) + -6 = 2m + 8 (20 + 5m) + -6 = 2m + 8 Reorder the terms: 20 + -6 + 5m = 2m + 8 Combine like terms: 20 + -6 = 14 14 + 5m = 2m + 8 Reorder the terms: 14 + 5m = 8 + 2m Solving 14 + 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. 14 + 5m + -2m = 8 + 2m + -2m Combine like terms: 5m + -2m = 3m 14 + 3m = 8 + 2m + -2m Combine like terms: 2m + -2m = 0 14 + 3m = 8 + 0 14 + 3m = 8 Add '-14' to each side of the equation. 14 + -14 + 3m = 8 + -14 Combine like terms: 14 + -14 = 0 0 + 3m = 8 + -14 3m = 8 + -14 Combine like terms: 8 + -14 = -6 3m = -6 Divide each side by '3'. m = -2 Simplifying m = -2
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