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Simplifying 14 + 2z = 20 + 1.50z Solving 14 + 2z = 20 + 1.50z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.50z' to each side of the equation. 14 + 2z + -1.50z = 20 + 1.50z + -1.50z Combine like terms: 2z + -1.50z = 0.5z 14 + 0.5z = 20 + 1.50z + -1.50z Combine like terms: 1.50z + -1.50z = 0.00 14 + 0.5z = 20 + 0.00 14 + 0.5z = 20 Add '-14' to each side of the equation. 14 + -14 + 0.5z = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 0.5z = 20 + -14 0.5z = 20 + -14 Combine like terms: 20 + -14 = 6 0.5z = 6 Divide each side by '0.5'. z = 12 Simplifying z = 12
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