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Simplifying 2(3m + -9) + -3(m + -2) = 0 Reorder the terms: 2(-9 + 3m) + -3(m + -2) = 0 (-9 * 2 + 3m * 2) + -3(m + -2) = 0 (-18 + 6m) + -3(m + -2) = 0 Reorder the terms: -18 + 6m + -3(-2 + m) = 0 -18 + 6m + (-2 * -3 + m * -3) = 0 -18 + 6m + (6 + -3m) = 0 Reorder the terms: -18 + 6 + 6m + -3m = 0 Combine like terms: -18 + 6 = -12 -12 + 6m + -3m = 0 Combine like terms: 6m + -3m = 3m -12 + 3m = 0 Solving -12 + 3m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 3m = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 3m = 0 + 12 3m = 0 + 12 Combine like terms: 0 + 12 = 12 3m = 12 Divide each side by '3'. m = 4 Simplifying m = 4
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