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Simplifying 45z + 270 = 75z + -150 Reorder the terms: 270 + 45z = 75z + -150 Reorder the terms: 270 + 45z = -150 + 75z Solving 270 + 45z = -150 + 75z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-75z' to each side of the equation. 270 + 45z + -75z = -150 + 75z + -75z Combine like terms: 45z + -75z = -30z 270 + -30z = -150 + 75z + -75z Combine like terms: 75z + -75z = 0 270 + -30z = -150 + 0 270 + -30z = -150 Add '-270' to each side of the equation. 270 + -270 + -30z = -150 + -270 Combine like terms: 270 + -270 = 0 0 + -30z = -150 + -270 -30z = -150 + -270 Combine like terms: -150 + -270 = -420 -30z = -420 Divide each side by '-30'. z = 14 Simplifying z = 14
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