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Simplifying 0.6(z + -300) + 0.05z = 0.7z + -205 Reorder the terms: 0.6(-300 + z) + 0.05z = 0.7z + -205 (-300 * 0.6 + z * 0.6) + 0.05z = 0.7z + -205 (-180 + 0.6z) + 0.05z = 0.7z + -205 Combine like terms: 0.6z + 0.05z = 0.65z -180 + 0.65z = 0.7z + -205 Reorder the terms: -180 + 0.65z = -205 + 0.7z Solving -180 + 0.65z = -205 + 0.7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.7z' to each side of the equation. -180 + 0.65z + -0.7z = -205 + 0.7z + -0.7z Combine like terms: 0.65z + -0.7z = -0.05z -180 + -0.05z = -205 + 0.7z + -0.7z Combine like terms: 0.7z + -0.7z = 0.0 -180 + -0.05z = -205 + 0.0 -180 + -0.05z = -205 Add '180' to each side of the equation. -180 + 180 + -0.05z = -205 + 180 Combine like terms: -180 + 180 = 0 0 + -0.05z = -205 + 180 -0.05z = -205 + 180 Combine like terms: -205 + 180 = -25 -0.05z = -25 Divide each side by '-0.05'. z = 500 Simplifying z = 500
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