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Simplifying -2m + -5 + -4(m + -1) = 6m + -1(9m + -3) + -5m + 2 Reorder the terms: -2m + -5 + -4(-1 + m) = 6m + -1(9m + -3) + -5m + 2 -2m + -5 + (-1 * -4 + m * -4) = 6m + -1(9m + -3) + -5m + 2 -2m + -5 + (4 + -4m) = 6m + -1(9m + -3) + -5m + 2 Reorder the terms: -5 + 4 + -2m + -4m = 6m + -1(9m + -3) + -5m + 2 Combine like terms: -5 + 4 = -1 -1 + -2m + -4m = 6m + -1(9m + -3) + -5m + 2 Combine like terms: -2m + -4m = -6m -1 + -6m = 6m + -1(9m + -3) + -5m + 2 Reorder the terms: -1 + -6m = 6m + -1(-3 + 9m) + -5m + 2 -1 + -6m = 6m + (-3 * -1 + 9m * -1) + -5m + 2 -1 + -6m = 6m + (3 + -9m) + -5m + 2 Reorder the terms: -1 + -6m = 3 + 2 + 6m + -9m + -5m Combine like terms: 3 + 2 = 5 -1 + -6m = 5 + 6m + -9m + -5m Combine like terms: 6m + -9m = -3m -1 + -6m = 5 + -3m + -5m Combine like terms: -3m + -5m = -8m -1 + -6m = 5 + -8m Solving -1 + -6m = 5 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. -1 + -6m + 8m = 5 + -8m + 8m Combine like terms: -6m + 8m = 2m -1 + 2m = 5 + -8m + 8m Combine like terms: -8m + 8m = 0 -1 + 2m = 5 + 0 -1 + 2m = 5 Add '1' to each side of the equation. -1 + 1 + 2m = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 2m = 5 + 1 2m = 5 + 1 Combine like terms: 5 + 1 = 6 2m = 6 Divide each side by '2'. m = 3 Simplifying m = 3
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