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Simplifying -2m + -19 + -5(m + -4) = 4m + -1(6m + -8) + -7m + 3 Reorder the terms: -2m + -19 + -5(-4 + m) = 4m + -1(6m + -8) + -7m + 3 -2m + -19 + (-4 * -5 + m * -5) = 4m + -1(6m + -8) + -7m + 3 -2m + -19 + (20 + -5m) = 4m + -1(6m + -8) + -7m + 3 Reorder the terms: -19 + 20 + -2m + -5m = 4m + -1(6m + -8) + -7m + 3 Combine like terms: -19 + 20 = 1 1 + -2m + -5m = 4m + -1(6m + -8) + -7m + 3 Combine like terms: -2m + -5m = -7m 1 + -7m = 4m + -1(6m + -8) + -7m + 3 Reorder the terms: 1 + -7m = 4m + -1(-8 + 6m) + -7m + 3 1 + -7m = 4m + (-8 * -1 + 6m * -1) + -7m + 3 1 + -7m = 4m + (8 + -6m) + -7m + 3 Reorder the terms: 1 + -7m = 8 + 3 + 4m + -6m + -7m Combine like terms: 8 + 3 = 11 1 + -7m = 11 + 4m + -6m + -7m Combine like terms: 4m + -6m = -2m 1 + -7m = 11 + -2m + -7m Combine like terms: -2m + -7m = -9m 1 + -7m = 11 + -9m Solving 1 + -7m = 11 + -9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9m' to each side of the equation. 1 + -7m + 9m = 11 + -9m + 9m Combine like terms: -7m + 9m = 2m 1 + 2m = 11 + -9m + 9m Combine like terms: -9m + 9m = 0 1 + 2m = 11 + 0 1 + 2m = 11 Add '-1' to each side of the equation. 1 + -1 + 2m = 11 + -1 Combine like terms: 1 + -1 = 0 0 + 2m = 11 + -1 2m = 11 + -1 Combine like terms: 11 + -1 = 10 2m = 10 Divide each side by '2'. m = 5 Simplifying m = 5
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