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Simplifying 2(3m + 9) + -4(m + 8) = 0 Reorder the terms: 2(9 + 3m) + -4(m + 8) = 0 (9 * 2 + 3m * 2) + -4(m + 8) = 0 (18 + 6m) + -4(m + 8) = 0 Reorder the terms: 18 + 6m + -4(8 + m) = 0 18 + 6m + (8 * -4 + m * -4) = 0 18 + 6m + (-32 + -4m) = 0 Reorder the terms: 18 + -32 + 6m + -4m = 0 Combine like terms: 18 + -32 = -14 -14 + 6m + -4m = 0 Combine like terms: 6m + -4m = 2m -14 + 2m = 0 Solving -14 + 2m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 2m = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 2m = 0 + 14 2m = 0 + 14 Combine like terms: 0 + 14 = 14 2m = 14 Divide each side by '2'. m = 7 Simplifying m = 7
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