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Simplifying 2(5m + -7) + -4(m + -4) = 0 Reorder the terms: 2(-7 + 5m) + -4(m + -4) = 0 (-7 * 2 + 5m * 2) + -4(m + -4) = 0 (-14 + 10m) + -4(m + -4) = 0 Reorder the terms: -14 + 10m + -4(-4 + m) = 0 -14 + 10m + (-4 * -4 + m * -4) = 0 -14 + 10m + (16 + -4m) = 0 Reorder the terms: -14 + 16 + 10m + -4m = 0 Combine like terms: -14 + 16 = 2 2 + 10m + -4m = 0 Combine like terms: 10m + -4m = 6m 2 + 6m = 0 Solving 2 + 6m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 6m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6m = 0 + -2 6m = 0 + -2 Combine like terms: 0 + -2 = -2 6m = -2 Divide each side by '6'. m = -0.3333333333 Simplifying m = -0.3333333333
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