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Simplifying 10z + 8m + -5z + -2m = 0 Reorder the terms: 8m + -2m + 10z + -5z = 0 Combine like terms: 8m + -2m = 6m 6m + 10z + -5z = 0 Combine like terms: 10z + -5z = 5z 6m + 5z = 0 Solving 6m + 5z = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5z' to each side of the equation. 6m + 5z + -5z = 0 + -5z Combine like terms: 5z + -5z = 0 6m + 0 = 0 + -5z 6m = 0 + -5z Remove the zero: 6m = -5z Divide each side by '6'. m = -0.8333333333z Simplifying m = -0.8333333333z
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