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Simplifying -20z + -0.6 = 30z + 1.3 Reorder the terms: -0.6 + -20z = 30z + 1.3 Reorder the terms: -0.6 + -20z = 1.3 + 30z Solving -0.6 + -20z = 1.3 + 30z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-30z' to each side of the equation. -0.6 + -20z + -30z = 1.3 + 30z + -30z Combine like terms: -20z + -30z = -50z -0.6 + -50z = 1.3 + 30z + -30z Combine like terms: 30z + -30z = 0 -0.6 + -50z = 1.3 + 0 -0.6 + -50z = 1.3 Add '0.6' to each side of the equation. -0.6 + 0.6 + -50z = 1.3 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -50z = 1.3 + 0.6 -50z = 1.3 + 0.6 Combine like terms: 1.3 + 0.6 = 1.9 -50z = 1.9 Divide each side by '-50'. z = -0.038 Simplifying z = -0.038
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