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Simplifying 5 + 17z + -4 = 9z + 106 + -7z Reorder the terms: 5 + -4 + 17z = 9z + 106 + -7z Combine like terms: 5 + -4 = 1 1 + 17z = 9z + 106 + -7z Reorder the terms: 1 + 17z = 106 + 9z + -7z Combine like terms: 9z + -7z = 2z 1 + 17z = 106 + 2z Solving 1 + 17z = 106 + 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. 1 + 17z + -2z = 106 + 2z + -2z Combine like terms: 17z + -2z = 15z 1 + 15z = 106 + 2z + -2z Combine like terms: 2z + -2z = 0 1 + 15z = 106 + 0 1 + 15z = 106 Add '-1' to each side of the equation. 1 + -1 + 15z = 106 + -1 Combine like terms: 1 + -1 = 0 0 + 15z = 106 + -1 15z = 106 + -1 Combine like terms: 106 + -1 = 105 15z = 105 Divide each side by '15'. z = 7 Simplifying z = 7
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