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Simplifying 0.05x + 5m + z + -100 = 0 Reorder the terms: -100 + 5m + 0.05x + z = 0 Solving -100 + 5m + 0.05x + z = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 5m + 0.05x + 100 + z = 0 + 100 Reorder the terms: -100 + 100 + 5m + 0.05x + z = 0 + 100 Combine like terms: -100 + 100 = 0 0 + 5m + 0.05x + z = 0 + 100 5m + 0.05x + z = 0 + 100 Combine like terms: 0 + 100 = 100 5m + 0.05x + z = 100 Add '-0.05x' to each side of the equation. 5m + 0.05x + -0.05x + z = 100 + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 5m + 0.00 + z = 100 + -0.05x 5m + z = 100 + -0.05x Add '-1z' to each side of the equation. 5m + z + -1z = 100 + -0.05x + -1z Combine like terms: z + -1z = 0 5m + 0 = 100 + -0.05x + -1z 5m = 100 + -0.05x + -1z Divide each side by '5'. m = 20 + -0.01x + -0.2z Simplifying m = 20 + -0.01x + -0.2z
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