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