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Simplifying -30z + -0.6 = 40z + 1.3 Reorder the terms: -0.6 + -30z = 40z + 1.3 Reorder the terms: -0.6 + -30z = 1.3 + 40z Solving -0.6 + -30z = 1.3 + 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. -0.6 + -30z + -40z = 1.3 + 40z + -40z Combine like terms: -30z + -40z = -70z -0.6 + -70z = 1.3 + 40z + -40z Combine like terms: 40z + -40z = 0 -0.6 + -70z = 1.3 + 0 -0.6 + -70z = 1.3 Add '0.6' to each side of the equation. -0.6 + 0.6 + -70z = 1.3 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -70z = 1.3 + 0.6 -70z = 1.3 + 0.6 Combine like terms: 1.3 + 0.6 = 1.9 -70z = 1.9 Divide each side by '-70'. z = -0.02714285714 Simplifying z = -0.02714285714
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