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Simplifying 3(2m + -9) + -4(m + -7) = 0 Reorder the terms: 3(-9 + 2m) + -4(m + -7) = 0 (-9 * 3 + 2m * 3) + -4(m + -7) = 0 (-27 + 6m) + -4(m + -7) = 0 Reorder the terms: -27 + 6m + -4(-7 + m) = 0 -27 + 6m + (-7 * -4 + m * -4) = 0 -27 + 6m + (28 + -4m) = 0 Reorder the terms: -27 + 28 + 6m + -4m = 0 Combine like terms: -27 + 28 = 1 1 + 6m + -4m = 0 Combine like terms: 6m + -4m = 2m 1 + 2m = 0 Solving 1 + 2m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2m = 0 + -1 2m = 0 + -1 Combine like terms: 0 + -1 = -1 2m = -1 Divide each side by '2'. m = -0.5 Simplifying m = -0.5
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