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Simplifying 23 = 2 + 7(z + 6) Reorder the terms: 23 = 2 + 7(6 + z) 23 = 2 + (6 * 7 + z * 7) 23 = 2 + (42 + 7z) Combine like terms: 2 + 42 = 44 23 = 44 + 7z Solving 23 = 44 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 23 + -7z = 44 + 7z + -7z Combine like terms: 7z + -7z = 0 23 + -7z = 44 + 0 23 + -7z = 44 Add '-23' to each side of the equation. 23 + -23 + -7z = 44 + -23 Combine like terms: 23 + -23 = 0 0 + -7z = 44 + -23 -7z = 44 + -23 Combine like terms: 44 + -23 = 21 -7z = 21 Divide each side by '-7'. z = -3 Simplifying z = -3
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