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Simplifying -3m + -5 + -6(m + -4) = 5m + -1(7m + -1) + -4m + 3 Reorder the terms: -3m + -5 + -6(-4 + m) = 5m + -1(7m + -1) + -4m + 3 -3m + -5 + (-4 * -6 + m * -6) = 5m + -1(7m + -1) + -4m + 3 -3m + -5 + (24 + -6m) = 5m + -1(7m + -1) + -4m + 3 Reorder the terms: -5 + 24 + -3m + -6m = 5m + -1(7m + -1) + -4m + 3 Combine like terms: -5 + 24 = 19 19 + -3m + -6m = 5m + -1(7m + -1) + -4m + 3 Combine like terms: -3m + -6m = -9m 19 + -9m = 5m + -1(7m + -1) + -4m + 3 Reorder the terms: 19 + -9m = 5m + -1(-1 + 7m) + -4m + 3 19 + -9m = 5m + (-1 * -1 + 7m * -1) + -4m + 3 19 + -9m = 5m + (1 + -7m) + -4m + 3 Reorder the terms: 19 + -9m = 1 + 3 + 5m + -7m + -4m Combine like terms: 1 + 3 = 4 19 + -9m = 4 + 5m + -7m + -4m Combine like terms: 5m + -7m = -2m 19 + -9m = 4 + -2m + -4m Combine like terms: -2m + -4m = -6m 19 + -9m = 4 + -6m Solving 19 + -9m = 4 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 19 + -9m + 6m = 4 + -6m + 6m Combine like terms: -9m + 6m = -3m 19 + -3m = 4 + -6m + 6m Combine like terms: -6m + 6m = 0 19 + -3m = 4 + 0 19 + -3m = 4 Add '-19' to each side of the equation. 19 + -19 + -3m = 4 + -19 Combine like terms: 19 + -19 = 0 0 + -3m = 4 + -19 -3m = 4 + -19 Combine like terms: 4 + -19 = -15 -3m = -15 Divide each side by '-3'. m = 5 Simplifying m = 5
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