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Simplifying 4z + 2 = 2(z + 2) Reorder the terms: 2 + 4z = 2(z + 2) Reorder the terms: 2 + 4z = 2(2 + z) 2 + 4z = (2 * 2 + z * 2) 2 + 4z = (4 + 2z) Solving 2 + 4z = 4 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 2 + 4z + -2z = 4 + 2z + -2z Combine like terms: 4z + -2z = 2z 2 + 2z = 4 + 2z + -2z Combine like terms: 2z + -2z = 0 2 + 2z = 4 + 0 2 + 2z = 4 Add '-2' to each side of the equation. 2 + -2 + 2z = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 2z = 4 + -2 2z = 4 + -2 Combine like terms: 4 + -2 = 2 2z = 2 Divide each side by '2'. z = 1 Simplifying z = 1
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