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Simplifying 4(z + 2) = 2(y + 5) Reorder the terms: 4(2 + z) = 2(y + 5) (2 * 4 + z * 4) = 2(y + 5) (8 + 4z) = 2(y + 5) Reorder the terms: 8 + 4z = 2(5 + y) 8 + 4z = (5 * 2 + y * 2) 8 + 4z = (10 + 2y) Solving 8 + 4z = 10 + 2y Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4z = 10 + -8 + 2y Combine like terms: 8 + -8 = 0 0 + 4z = 10 + -8 + 2y 4z = 10 + -8 + 2y Combine like terms: 10 + -8 = 2 4z = 2 + 2y Divide each side by '4'. z = 0.5 + 0.5y Simplifying z = 0.5 + 0.5y
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