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Simplifying -2(3m + 4) + 3(m + -7) = 0 Reorder the terms: -2(4 + 3m) + 3(m + -7) = 0 (4 * -2 + 3m * -2) + 3(m + -7) = 0 (-8 + -6m) + 3(m + -7) = 0 Reorder the terms: -8 + -6m + 3(-7 + m) = 0 -8 + -6m + (-7 * 3 + m * 3) = 0 -8 + -6m + (-21 + 3m) = 0 Reorder the terms: -8 + -21 + -6m + 3m = 0 Combine like terms: -8 + -21 = -29 -29 + -6m + 3m = 0 Combine like terms: -6m + 3m = -3m -29 + -3m = 0 Solving -29 + -3m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -3m = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -3m = 0 + 29 -3m = 0 + 29 Combine like terms: 0 + 29 = 29 -3m = 29 Divide each side by '-3'. m = -9.666666667 Simplifying m = -9.666666667
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