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Simplifying 8 = 5(2 + 2m) + -6(m + 5) 8 = (2 * 5 + 2m * 5) + -6(m + 5) 8 = (10 + 10m) + -6(m + 5) Reorder the terms: 8 = 10 + 10m + -6(5 + m) 8 = 10 + 10m + (5 * -6 + m * -6) 8 = 10 + 10m + (-30 + -6m) Reorder the terms: 8 = 10 + -30 + 10m + -6m Combine like terms: 10 + -30 = -20 8 = -20 + 10m + -6m Combine like terms: 10m + -6m = 4m 8 = -20 + 4m Solving 8 = -20 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 8 + -4m = -20 + 4m + -4m Combine like terms: 4m + -4m = 0 8 + -4m = -20 + 0 8 + -4m = -20 Add '-8' to each side of the equation. 8 + -8 + -4m = -20 + -8 Combine like terms: 8 + -8 = 0 0 + -4m = -20 + -8 -4m = -20 + -8 Combine like terms: -20 + -8 = -28 -4m = -28 Divide each side by '-4'. m = 7 Simplifying m = 7
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