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Simplifying 2(5m + 2) + -4(4m + -8) + -9m = 0 Reorder the terms: 2(2 + 5m) + -4(4m + -8) + -9m = 0 (2 * 2 + 5m * 2) + -4(4m + -8) + -9m = 0 (4 + 10m) + -4(4m + -8) + -9m = 0 Reorder the terms: 4 + 10m + -4(-8 + 4m) + -9m = 0 4 + 10m + (-8 * -4 + 4m * -4) + -9m = 0 4 + 10m + (32 + -16m) + -9m = 0 Reorder the terms: 4 + 32 + 10m + -16m + -9m = 0 Combine like terms: 4 + 32 = 36 36 + 10m + -16m + -9m = 0 Combine like terms: 10m + -16m = -6m 36 + -6m + -9m = 0 Combine like terms: -6m + -9m = -15m 36 + -15m = 0 Solving 36 + -15m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -15m = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -15m = 0 + -36 -15m = 0 + -36 Combine like terms: 0 + -36 = -36 -15m = -36 Divide each side by '-15'. m = 2.4 Simplifying m = 2.4
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