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Simplifying -8m + 32 + -4(m + -4) = 7m + -1(2m + -1) + -9m + 7 Reorder the terms: -8m + 32 + -4(-4 + m) = 7m + -1(2m + -1) + -9m + 7 -8m + 32 + (-4 * -4 + m * -4) = 7m + -1(2m + -1) + -9m + 7 -8m + 32 + (16 + -4m) = 7m + -1(2m + -1) + -9m + 7 Reorder the terms: 32 + 16 + -8m + -4m = 7m + -1(2m + -1) + -9m + 7 Combine like terms: 32 + 16 = 48 48 + -8m + -4m = 7m + -1(2m + -1) + -9m + 7 Combine like terms: -8m + -4m = -12m 48 + -12m = 7m + -1(2m + -1) + -9m + 7 Reorder the terms: 48 + -12m = 7m + -1(-1 + 2m) + -9m + 7 48 + -12m = 7m + (-1 * -1 + 2m * -1) + -9m + 7 48 + -12m = 7m + (1 + -2m) + -9m + 7 Reorder the terms: 48 + -12m = 1 + 7 + 7m + -2m + -9m Combine like terms: 1 + 7 = 8 48 + -12m = 8 + 7m + -2m + -9m Combine like terms: 7m + -2m = 5m 48 + -12m = 8 + 5m + -9m Combine like terms: 5m + -9m = -4m 48 + -12m = 8 + -4m Solving 48 + -12m = 8 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 48 + -12m + 4m = 8 + -4m + 4m Combine like terms: -12m + 4m = -8m 48 + -8m = 8 + -4m + 4m Combine like terms: -4m + 4m = 0 48 + -8m = 8 + 0 48 + -8m = 8 Add '-48' to each side of the equation. 48 + -48 + -8m = 8 + -48 Combine like terms: 48 + -48 = 0 0 + -8m = 8 + -48 -8m = 8 + -48 Combine like terms: 8 + -48 = -40 -8m = -40 Divide each side by '-8'. m = 5 Simplifying m = 5
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