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Simplifying 0.492z + 60 + 0.1 = 0.5(2z + -3) Reorder the terms: 60 + 0.1 + 0.492z = 0.5(2z + -3) Combine like terms: 60 + 0.1 = 60.1 60.1 + 0.492z = 0.5(2z + -3) Reorder the terms: 60.1 + 0.492z = 0.5(-3 + 2z) 60.1 + 0.492z = (-3 * 0.5 + 2z * 0.5) 60.1 + 0.492z = (-1.5 + 1z) Solving 60.1 + 0.492z = -1.5 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 60.1 + 0.492z + -1z = -1.5 + 1z + -1z Combine like terms: 0.492z + -1z = -0.508z 60.1 + -0.508z = -1.5 + 1z + -1z Combine like terms: 1z + -1z = 0 60.1 + -0.508z = -1.5 + 0 60.1 + -0.508z = -1.5 Add '-60.1' to each side of the equation. 60.1 + -60.1 + -0.508z = -1.5 + -60.1 Combine like terms: 60.1 + -60.1 = 0.0 0.0 + -0.508z = -1.5 + -60.1 -0.508z = -1.5 + -60.1 Combine like terms: -1.5 + -60.1 = -61.6 -0.508z = -61.6 Divide each side by '-0.508'. z = 121.2598425 Simplifying z = 121.2598425
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