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Simplifying 9m + 32 + -6(m + -2) = 6m + -1(5m + -4) + -8m + 8 Reorder the terms: 9m + 32 + -6(-2 + m) = 6m + -1(5m + -4) + -8m + 8 9m + 32 + (-2 * -6 + m * -6) = 6m + -1(5m + -4) + -8m + 8 9m + 32 + (12 + -6m) = 6m + -1(5m + -4) + -8m + 8 Reorder the terms: 32 + 12 + 9m + -6m = 6m + -1(5m + -4) + -8m + 8 Combine like terms: 32 + 12 = 44 44 + 9m + -6m = 6m + -1(5m + -4) + -8m + 8 Combine like terms: 9m + -6m = 3m 44 + 3m = 6m + -1(5m + -4) + -8m + 8 Reorder the terms: 44 + 3m = 6m + -1(-4 + 5m) + -8m + 8 44 + 3m = 6m + (-4 * -1 + 5m * -1) + -8m + 8 44 + 3m = 6m + (4 + -5m) + -8m + 8 Reorder the terms: 44 + 3m = 4 + 8 + 6m + -5m + -8m Combine like terms: 4 + 8 = 12 44 + 3m = 12 + 6m + -5m + -8m Combine like terms: 6m + -5m = 1m 44 + 3m = 12 + 1m + -8m Combine like terms: 1m + -8m = -7m 44 + 3m = 12 + -7m Solving 44 + 3m = 12 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. 44 + 3m + 7m = 12 + -7m + 7m Combine like terms: 3m + 7m = 10m 44 + 10m = 12 + -7m + 7m Combine like terms: -7m + 7m = 0 44 + 10m = 12 + 0 44 + 10m = 12 Add '-44' to each side of the equation. 44 + -44 + 10m = 12 + -44 Combine like terms: 44 + -44 = 0 0 + 10m = 12 + -44 10m = 12 + -44 Combine like terms: 12 + -44 = -32 10m = -32 Divide each side by '10'. m = -3.2 Simplifying m = -3.2
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