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Simplifying 4(m + 10) + 4(-3m + 5) = -7m + 5m Reorder the terms: 4(10 + m) + 4(-3m + 5) = -7m + 5m (10 * 4 + m * 4) + 4(-3m + 5) = -7m + 5m (40 + 4m) + 4(-3m + 5) = -7m + 5m Reorder the terms: 40 + 4m + 4(5 + -3m) = -7m + 5m 40 + 4m + (5 * 4 + -3m * 4) = -7m + 5m 40 + 4m + (20 + -12m) = -7m + 5m Reorder the terms: 40 + 20 + 4m + -12m = -7m + 5m Combine like terms: 40 + 20 = 60 60 + 4m + -12m = -7m + 5m Combine like terms: 4m + -12m = -8m 60 + -8m = -7m + 5m Combine like terms: -7m + 5m = -2m 60 + -8m = -2m Solving 60 + -8m = -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. 60 + -8m + 2m = -2m + 2m Combine like terms: -8m + 2m = -6m 60 + -6m = -2m + 2m Combine like terms: -2m + 2m = 0 60 + -6m = 0 Add '-60' to each side of the equation. 60 + -60 + -6m = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -6m = 0 + -60 -6m = 0 + -60 Combine like terms: 0 + -60 = -60 -6m = -60 Divide each side by '-6'. m = 10 Simplifying m = 10
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