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Simplifying -8m + 8 + -4(m + -2) = 4m + -1(9m + -7) + -5m + 3 Reorder the terms: -8m + 8 + -4(-2 + m) = 4m + -1(9m + -7) + -5m + 3 -8m + 8 + (-2 * -4 + m * -4) = 4m + -1(9m + -7) + -5m + 3 -8m + 8 + (8 + -4m) = 4m + -1(9m + -7) + -5m + 3 Reorder the terms: 8 + 8 + -8m + -4m = 4m + -1(9m + -7) + -5m + 3 Combine like terms: 8 + 8 = 16 16 + -8m + -4m = 4m + -1(9m + -7) + -5m + 3 Combine like terms: -8m + -4m = -12m 16 + -12m = 4m + -1(9m + -7) + -5m + 3 Reorder the terms: 16 + -12m = 4m + -1(-7 + 9m) + -5m + 3 16 + -12m = 4m + (-7 * -1 + 9m * -1) + -5m + 3 16 + -12m = 4m + (7 + -9m) + -5m + 3 Reorder the terms: 16 + -12m = 7 + 3 + 4m + -9m + -5m Combine like terms: 7 + 3 = 10 16 + -12m = 10 + 4m + -9m + -5m Combine like terms: 4m + -9m = -5m 16 + -12m = 10 + -5m + -5m Combine like terms: -5m + -5m = -10m 16 + -12m = 10 + -10m Solving 16 + -12m = 10 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. 16 + -12m + 10m = 10 + -10m + 10m Combine like terms: -12m + 10m = -2m 16 + -2m = 10 + -10m + 10m Combine like terms: -10m + 10m = 0 16 + -2m = 10 + 0 16 + -2m = 10 Add '-16' to each side of the equation. 16 + -16 + -2m = 10 + -16 Combine like terms: 16 + -16 = 0 0 + -2m = 10 + -16 -2m = 10 + -16 Combine like terms: 10 + -16 = -6 -2m = -6 Divide each side by '-2'. m = 3 Simplifying m = 3
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