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Simplifying 17 = 11 + -1(4z + 3z) Combine like terms: 4z + 3z = 7z 17 = 11 + -1(7z) Remove parenthesis around (7z) 17 = 11 + -1 * 7z Multiply -1 * 7 17 = 11 + -7z Solving 17 = 11 + -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 = 11 + -7z + 7z Combine like terms: -7z + 7z = 0 17 + 7z = 11 + 0 17 + 7z = 11 Add '-17' to each side of the equation. 17 + -17 + 7z = 11 + -17 Combine like terms: 17 + -17 = 0 0 + 7z = 11 + -17 7z = 11 + -17 Combine like terms: 11 + -17 = -6 7z = -6 Divide each side by '7'. z = -0.8571428571 Simplifying z = -0.8571428571
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