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Simplifying -5m + 39 + -4(m + -2) = 3m + -1(2m + -3) + -4m + 8 Reorder the terms: -5m + 39 + -4(-2 + m) = 3m + -1(2m + -3) + -4m + 8 -5m + 39 + (-2 * -4 + m * -4) = 3m + -1(2m + -3) + -4m + 8 -5m + 39 + (8 + -4m) = 3m + -1(2m + -3) + -4m + 8 Reorder the terms: 39 + 8 + -5m + -4m = 3m + -1(2m + -3) + -4m + 8 Combine like terms: 39 + 8 = 47 47 + -5m + -4m = 3m + -1(2m + -3) + -4m + 8 Combine like terms: -5m + -4m = -9m 47 + -9m = 3m + -1(2m + -3) + -4m + 8 Reorder the terms: 47 + -9m = 3m + -1(-3 + 2m) + -4m + 8 47 + -9m = 3m + (-3 * -1 + 2m * -1) + -4m + 8 47 + -9m = 3m + (3 + -2m) + -4m + 8 Reorder the terms: 47 + -9m = 3 + 8 + 3m + -2m + -4m Combine like terms: 3 + 8 = 11 47 + -9m = 11 + 3m + -2m + -4m Combine like terms: 3m + -2m = 1m 47 + -9m = 11 + 1m + -4m Combine like terms: 1m + -4m = -3m 47 + -9m = 11 + -3m Solving 47 + -9m = 11 + -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. 47 + -9m + 3m = 11 + -3m + 3m Combine like terms: -9m + 3m = -6m 47 + -6m = 11 + -3m + 3m Combine like terms: -3m + 3m = 0 47 + -6m = 11 + 0 47 + -6m = 11 Add '-47' to each side of the equation. 47 + -47 + -6m = 11 + -47 Combine like terms: 47 + -47 = 0 0 + -6m = 11 + -47 -6m = 11 + -47 Combine like terms: 11 + -47 = -36 -6m = -36 Divide each side by '-6'. m = 6 Simplifying m = 6
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