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Simplifying 5m + 7m + 8z + 9z = 0 Combine like terms: 5m + 7m = 12m 12m + 8z + 9z = 0 Combine like terms: 8z + 9z = 17z 12m + 17z = 0 Solving 12m + 17z = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-17z' to each side of the equation. 12m + 17z + -17z = 0 + -17z Combine like terms: 17z + -17z = 0 12m + 0 = 0 + -17z 12m = 0 + -17z Remove the zero: 12m = -17z Divide each side by '12'. m = -1.416666667z Simplifying m = -1.416666667z
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