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Simplifying -6m + 45 + -4(m + -1) = 9m + -1(4m + -4) + -8m + 3 Reorder the terms: -6m + 45 + -4(-1 + m) = 9m + -1(4m + -4) + -8m + 3 -6m + 45 + (-1 * -4 + m * -4) = 9m + -1(4m + -4) + -8m + 3 -6m + 45 + (4 + -4m) = 9m + -1(4m + -4) + -8m + 3 Reorder the terms: 45 + 4 + -6m + -4m = 9m + -1(4m + -4) + -8m + 3 Combine like terms: 45 + 4 = 49 49 + -6m + -4m = 9m + -1(4m + -4) + -8m + 3 Combine like terms: -6m + -4m = -10m 49 + -10m = 9m + -1(4m + -4) + -8m + 3 Reorder the terms: 49 + -10m = 9m + -1(-4 + 4m) + -8m + 3 49 + -10m = 9m + (-4 * -1 + 4m * -1) + -8m + 3 49 + -10m = 9m + (4 + -4m) + -8m + 3 Reorder the terms: 49 + -10m = 4 + 3 + 9m + -4m + -8m Combine like terms: 4 + 3 = 7 49 + -10m = 7 + 9m + -4m + -8m Combine like terms: 9m + -4m = 5m 49 + -10m = 7 + 5m + -8m Combine like terms: 5m + -8m = -3m 49 + -10m = 7 + -3m Solving 49 + -10m = 7 + -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. 49 + -10m + 3m = 7 + -3m + 3m Combine like terms: -10m + 3m = -7m 49 + -7m = 7 + -3m + 3m Combine like terms: -3m + 3m = 0 49 + -7m = 7 + 0 49 + -7m = 7 Add '-49' to each side of the equation. 49 + -49 + -7m = 7 + -49 Combine like terms: 49 + -49 = 0 0 + -7m = 7 + -49 -7m = 7 + -49 Combine like terms: 7 + -49 = -42 -7m = -42 Divide each side by '-7'. m = 6 Simplifying m = 6
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