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Simplifying -30z + -0.8 = 40z + 1.7 Reorder the terms: -0.8 + -30z = 40z + 1.7 Reorder the terms: -0.8 + -30z = 1.7 + 40z Solving -0.8 + -30z = 1.7 + 40z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-40z' to each side of the equation. -0.8 + -30z + -40z = 1.7 + 40z + -40z Combine like terms: -30z + -40z = -70z -0.8 + -70z = 1.7 + 40z + -40z Combine like terms: 40z + -40z = 0 -0.8 + -70z = 1.7 + 0 -0.8 + -70z = 1.7 Add '0.8' to each side of the equation. -0.8 + 0.8 + -70z = 1.7 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -70z = 1.7 + 0.8 -70z = 1.7 + 0.8 Combine like terms: 1.7 + 0.8 = 2.5 -70z = 2.5 Divide each side by '-70'. z = -0.03571428571 Simplifying z = -0.03571428571
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