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Simplifying 3m + 9 + -6m + 3(3m + -9) = 0 Reorder the terms: 3m + 9 + -6m + 3(-9 + 3m) = 0 3m + 9 + -6m + (-9 * 3 + 3m * 3) = 0 3m + 9 + -6m + (-27 + 9m) = 0 Reorder the terms: 9 + -27 + 3m + -6m + 9m = 0 Combine like terms: 9 + -27 = -18 -18 + 3m + -6m + 9m = 0 Combine like terms: 3m + -6m = -3m -18 + -3m + 9m = 0 Combine like terms: -3m + 9m = 6m -18 + 6m = 0 Solving -18 + 6m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 6m = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 6m = 0 + 18 6m = 0 + 18 Combine like terms: 0 + 18 = 18 6m = 18 Divide each side by '6'. m = 3 Simplifying m = 3
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