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Simplifying 7 + 17z + -1 = 7z + 111 + -5z Reorder the terms: 7 + -1 + 17z = 7z + 111 + -5z Combine like terms: 7 + -1 = 6 6 + 17z = 7z + 111 + -5z Reorder the terms: 6 + 17z = 111 + 7z + -5z Combine like terms: 7z + -5z = 2z 6 + 17z = 111 + 2z Solving 6 + 17z = 111 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 6 + 17z + -2z = 111 + 2z + -2z Combine like terms: 17z + -2z = 15z 6 + 15z = 111 + 2z + -2z Combine like terms: 2z + -2z = 0 6 + 15z = 111 + 0 6 + 15z = 111 Add '-6' to each side of the equation. 6 + -6 + 15z = 111 + -6 Combine like terms: 6 + -6 = 0 0 + 15z = 111 + -6 15z = 111 + -6 Combine like terms: 111 + -6 = 105 15z = 105 Divide each side by '15'. z = 7 Simplifying z = 7
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