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Simplifying 6 + -12m + 5(m + -4) = 0 Reorder the terms: 6 + -12m + 5(-4 + m) = 0 6 + -12m + (-4 * 5 + m * 5) = 0 6 + -12m + (-20 + 5m) = 0 Reorder the terms: 6 + -20 + -12m + 5m = 0 Combine like terms: 6 + -20 = -14 -14 + -12m + 5m = 0 Combine like terms: -12m + 5m = -7m -14 + -7m = 0 Solving -14 + -7m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -7m = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -7m = 0 + 14 -7m = 0 + 14 Combine like terms: 0 + 14 = 14 -7m = 14 Divide each side by '-7'. m = -2 Simplifying m = -2
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