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Simplifying 2(3m + -9) + -3(m + -7) = 0 Reorder the terms: 2(-9 + 3m) + -3(m + -7) = 0 (-9 * 2 + 3m * 2) + -3(m + -7) = 0 (-18 + 6m) + -3(m + -7) = 0 Reorder the terms: -18 + 6m + -3(-7 + m) = 0 -18 + 6m + (-7 * -3 + m * -3) = 0 -18 + 6m + (21 + -3m) = 0 Reorder the terms: -18 + 21 + 6m + -3m = 0 Combine like terms: -18 + 21 = 3 3 + 6m + -3m = 0 Combine like terms: 6m + -3m = 3m 3 + 3m = 0 Solving 3 + 3m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3m = 0 + -3 3m = 0 + -3 Combine like terms: 0 + -3 = -3 3m = -3 Divide each side by '3'. m = -1 Simplifying m = -1
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