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Simplifying 20 = 6 + 7(z + 4) Reorder the terms: 20 = 6 + 7(4 + z) 20 = 6 + (4 * 7 + z * 7) 20 = 6 + (28 + 7z) Combine like terms: 6 + 28 = 34 20 = 34 + 7z Solving 20 = 34 + 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. 20 + -7z = 34 + 7z + -7z Combine like terms: 7z + -7z = 0 20 + -7z = 34 + 0 20 + -7z = 34 Add '-20' to each side of the equation. 20 + -20 + -7z = 34 + -20 Combine like terms: 20 + -20 = 0 0 + -7z = 34 + -20 -7z = 34 + -20 Combine like terms: 34 + -20 = 14 -7z = 14 Divide each side by '-7'. z = -2 Simplifying z = -2
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