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Simplifying 2(z + 1) = 4z + 14 Reorder the terms: 2(1 + z) = 4z + 14 (1 * 2 + z * 2) = 4z + 14 (2 + 2z) = 4z + 14 Reorder the terms: 2 + 2z = 14 + 4z Solving 2 + 2z = 14 + 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. 2 + 2z + -4z = 14 + 4z + -4z Combine like terms: 2z + -4z = -2z 2 + -2z = 14 + 4z + -4z Combine like terms: 4z + -4z = 0 2 + -2z = 14 + 0 2 + -2z = 14 Add '-2' to each side of the equation. 2 + -2 + -2z = 14 + -2 Combine like terms: 2 + -2 = 0 0 + -2z = 14 + -2 -2z = 14 + -2 Combine like terms: 14 + -2 = 12 -2z = 12 Divide each side by '-2'. z = -6 Simplifying z = -6
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