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Simplifying 4(z + 2) = 2z + 40 Reorder the terms: 4(2 + z) = 2z + 40 (2 * 4 + z * 4) = 2z + 40 (8 + 4z) = 2z + 40 Reorder the terms: 8 + 4z = 40 + 2z Solving 8 + 4z = 40 + 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. 8 + 4z + -2z = 40 + 2z + -2z Combine like terms: 4z + -2z = 2z 8 + 2z = 40 + 2z + -2z Combine like terms: 2z + -2z = 0 8 + 2z = 40 + 0 8 + 2z = 40 Add '-8' to each side of the equation. 8 + -8 + 2z = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 2z = 40 + -8 2z = 40 + -8 Combine like terms: 40 + -8 = 32 2z = 32 Divide each side by '2'. z = 16 Simplifying z = 16
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