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Simplifying -2(4m + 7) + -3(m + -9) = 0 Reorder the terms: -2(7 + 4m) + -3(m + -9) = 0 (7 * -2 + 4m * -2) + -3(m + -9) = 0 (-14 + -8m) + -3(m + -9) = 0 Reorder the terms: -14 + -8m + -3(-9 + m) = 0 -14 + -8m + (-9 * -3 + m * -3) = 0 -14 + -8m + (27 + -3m) = 0 Reorder the terms: -14 + 27 + -8m + -3m = 0 Combine like terms: -14 + 27 = 13 13 + -8m + -3m = 0 Combine like terms: -8m + -3m = -11m 13 + -11m = 0 Solving 13 + -11m = 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 + -11m = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -11m = 0 + -13 -11m = 0 + -13 Combine like terms: 0 + -13 = -13 -11m = -13 Divide each side by '-11'. m = 1.181818182 Simplifying m = 1.181818182
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