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Simplifying 17 = -5 + 7(z + 6) Reorder the terms: 17 = -5 + 7(6 + z) 17 = -5 + (6 * 7 + z * 7) 17 = -5 + (42 + 7z) Combine like terms: -5 + 42 = 37 17 = 37 + 7z Solving 17 = 37 + 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. 17 + -7z = 37 + 7z + -7z Combine like terms: 7z + -7z = 0 17 + -7z = 37 + 0 17 + -7z = 37 Add '-17' to each side of the equation. 17 + -17 + -7z = 37 + -17 Combine like terms: 17 + -17 = 0 0 + -7z = 37 + -17 -7z = 37 + -17 Combine like terms: 37 + -17 = 20 -7z = 20 Divide each side by '-7'. z = -2.857142857 Simplifying z = -2.857142857
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