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