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Simplifying 0.60(z + -300) + 0.05z = 0.70 + -205 Reorder the terms: 0.60(-300 + z) + 0.05z = 0.70 + -205 (-300 * 0.60 + z * 0.60) + 0.05z = 0.70 + -205 (-180 + 0.60z) + 0.05z = 0.70 + -205 Combine like terms: 0.60z + 0.05z = 0.65z -180 + 0.65z = 0.70 + -205 Combine like terms: 0.70 + -205 = -204.3 -180 + 0.65z = -204.3 Solving -180 + 0.65z = -204.3 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '180' to each side of the equation. -180 + 180 + 0.65z = -204.3 + 180 Combine like terms: -180 + 180 = 0 0 + 0.65z = -204.3 + 180 0.65z = -204.3 + 180 Combine like terms: -204.3 + 180 = -24.3 0.65z = -24.3 Divide each side by '0.65'. z = -37.38461538 Simplifying z = -37.38461538
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