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Simplifying 2(3m + -7) + -3(m + -9) = 0 Reorder the terms: 2(-7 + 3m) + -3(m + -9) = 0 (-7 * 2 + 3m * 2) + -3(m + -9) = 0 (-14 + 6m) + -3(m + -9) = 0 Reorder the terms: -14 + 6m + -3(-9 + m) = 0 -14 + 6m + (-9 * -3 + m * -3) = 0 -14 + 6m + (27 + -3m) = 0 Reorder the terms: -14 + 27 + 6m + -3m = 0 Combine like terms: -14 + 27 = 13 13 + 6m + -3m = 0 Combine like terms: 6m + -3m = 3m 13 + 3m = 0 Solving 13 + 3m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 3m = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 3m = 0 + -13 3m = 0 + -13 Combine like terms: 0 + -13 = -13 3m = -13 Divide each side by '3'. m = -4.333333333 Simplifying m = -4.333333333
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