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Simplifying 4Z + 14 + 26z = 52 + 28z + -1(-2) Reorder the terms: 14 + 4Z + 26z = 52 + 28z + -1(-2) Multiply -1 * -2 14 + 4Z + 26z = 52 + 28z + 2 Reorder the terms: 14 + 4Z + 26z = 52 + 2 + 28z Combine like terms: 52 + 2 = 54 14 + 4Z + 26z = 54 + 28z Solving 14 + 4Z + 26z = 54 + 28z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 4Z + -14 + 26z = 54 + -14 + 28z Reorder the terms: 14 + -14 + 4Z + 26z = 54 + -14 + 28z Combine like terms: 14 + -14 = 0 0 + 4Z + 26z = 54 + -14 + 28z 4Z + 26z = 54 + -14 + 28z Combine like terms: 54 + -14 = 40 4Z + 26z = 40 + 28z Add '-26z' to each side of the equation. 4Z + 26z + -26z = 40 + 28z + -26z Combine like terms: 26z + -26z = 0 4Z + 0 = 40 + 28z + -26z 4Z = 40 + 28z + -26z Combine like terms: 28z + -26z = 2z 4Z = 40 + 2z Divide each side by '4'. Z = 10 + 0.5z Simplifying Z = 10 + 0.5z
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