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Simplifying -3m + 19 + -5(m + -1) = 4m + -1(5m + -5) + -2m + 9 Reorder the terms: -3m + 19 + -5(-1 + m) = 4m + -1(5m + -5) + -2m + 9 -3m + 19 + (-1 * -5 + m * -5) = 4m + -1(5m + -5) + -2m + 9 -3m + 19 + (5 + -5m) = 4m + -1(5m + -5) + -2m + 9 Reorder the terms: 19 + 5 + -3m + -5m = 4m + -1(5m + -5) + -2m + 9 Combine like terms: 19 + 5 = 24 24 + -3m + -5m = 4m + -1(5m + -5) + -2m + 9 Combine like terms: -3m + -5m = -8m 24 + -8m = 4m + -1(5m + -5) + -2m + 9 Reorder the terms: 24 + -8m = 4m + -1(-5 + 5m) + -2m + 9 24 + -8m = 4m + (-5 * -1 + 5m * -1) + -2m + 9 24 + -8m = 4m + (5 + -5m) + -2m + 9 Reorder the terms: 24 + -8m = 5 + 9 + 4m + -5m + -2m Combine like terms: 5 + 9 = 14 24 + -8m = 14 + 4m + -5m + -2m Combine like terms: 4m + -5m = -1m 24 + -8m = 14 + -1m + -2m Combine like terms: -1m + -2m = -3m 24 + -8m = 14 + -3m Solving 24 + -8m = 14 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 24 + -8m + 3m = 14 + -3m + 3m Combine like terms: -8m + 3m = -5m 24 + -5m = 14 + -3m + 3m Combine like terms: -3m + 3m = 0 24 + -5m = 14 + 0 24 + -5m = 14 Add '-24' to each side of the equation. 24 + -24 + -5m = 14 + -24 Combine like terms: 24 + -24 = 0 0 + -5m = 14 + -24 -5m = 14 + -24 Combine like terms: 14 + -24 = -10 -5m = -10 Divide each side by '-5'. m = 2 Simplifying m = 2
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