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Simplifying 10z + 8m + -5z + -2 = 0 Reorder the terms: -2 + 8m + 10z + -5z = 0 Combine like terms: 10z + -5z = 5z -2 + 8m + 5z = 0 Solving -2 + 8m + 5z = 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 + 8m + 2 + 5z = 0 + 2 Reorder the terms: -2 + 2 + 8m + 5z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 8m + 5z = 0 + 2 8m + 5z = 0 + 2 Combine like terms: 0 + 2 = 2 8m + 5z = 2 Add '-5z' to each side of the equation. 8m + 5z + -5z = 2 + -5z Combine like terms: 5z + -5z = 0 8m + 0 = 2 + -5z 8m = 2 + -5z Divide each side by '8'. m = 0.25 + -0.625z Simplifying m = 0.25 + -0.625z
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