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Simplifying 4m + 0 + -2(m + -1) = 8m + -1(7m + -5) + -9m + 1 Reorder the terms: 4m + 0 + -2(-1 + m) = 8m + -1(7m + -5) + -9m + 1 4m + 0 + (-1 * -2 + m * -2) = 8m + -1(7m + -5) + -9m + 1 4m + 0 + (2 + -2m) = 8m + -1(7m + -5) + -9m + 1 Reorder the terms: 0 + 2 + 4m + -2m = 8m + -1(7m + -5) + -9m + 1 Combine like terms: 0 + 2 = 2 2 + 4m + -2m = 8m + -1(7m + -5) + -9m + 1 Combine like terms: 4m + -2m = 2m 2 + 2m = 8m + -1(7m + -5) + -9m + 1 Reorder the terms: 2 + 2m = 8m + -1(-5 + 7m) + -9m + 1 2 + 2m = 8m + (-5 * -1 + 7m * -1) + -9m + 1 2 + 2m = 8m + (5 + -7m) + -9m + 1 Reorder the terms: 2 + 2m = 5 + 1 + 8m + -7m + -9m Combine like terms: 5 + 1 = 6 2 + 2m = 6 + 8m + -7m + -9m Combine like terms: 8m + -7m = 1m 2 + 2m = 6 + 1m + -9m Combine like terms: 1m + -9m = -8m 2 + 2m = 6 + -8m Solving 2 + 2m = 6 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. 2 + 2m + 8m = 6 + -8m + 8m Combine like terms: 2m + 8m = 10m 2 + 10m = 6 + -8m + 8m Combine like terms: -8m + 8m = 0 2 + 10m = 6 + 0 2 + 10m = 6 Add '-2' to each side of the equation. 2 + -2 + 10m = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 10m = 6 + -2 10m = 6 + -2 Combine like terms: 6 + -2 = 4 10m = 4 Divide each side by '10'. m = 0.4 Simplifying m = 0.4
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