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Simplifying 5 + 17z + -1 = 8z + 34 + -6z Reorder the terms: 5 + -1 + 17z = 8z + 34 + -6z Combine like terms: 5 + -1 = 4 4 + 17z = 8z + 34 + -6z Reorder the terms: 4 + 17z = 34 + 8z + -6z Combine like terms: 8z + -6z = 2z 4 + 17z = 34 + 2z Solving 4 + 17z = 34 + 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. 4 + 17z + -2z = 34 + 2z + -2z Combine like terms: 17z + -2z = 15z 4 + 15z = 34 + 2z + -2z Combine like terms: 2z + -2z = 0 4 + 15z = 34 + 0 4 + 15z = 34 Add '-4' to each side of the equation. 4 + -4 + 15z = 34 + -4 Combine like terms: 4 + -4 = 0 0 + 15z = 34 + -4 15z = 34 + -4 Combine like terms: 34 + -4 = 30 15z = 30 Divide each side by '15'. z = 2 Simplifying z = 2
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