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Simplifying 3 + 17z + -2 = 8z + 16 + -6z Reorder the terms: 3 + -2 + 17z = 8z + 16 + -6z Combine like terms: 3 + -2 = 1 1 + 17z = 8z + 16 + -6z Reorder the terms: 1 + 17z = 16 + 8z + -6z Combine like terms: 8z + -6z = 2z 1 + 17z = 16 + 2z Solving 1 + 17z = 16 + 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 = 16 + 2z + -2z Combine like terms: 17z + -2z = 15z 1 + 15z = 16 + 2z + -2z Combine like terms: 2z + -2z = 0 1 + 15z = 16 + 0 1 + 15z = 16 Add '-1' to each side of the equation. 1 + -1 + 15z = 16 + -1 Combine like terms: 1 + -1 = 0 0 + 15z = 16 + -1 15z = 16 + -1 Combine like terms: 16 + -1 = 15 15z = 15 Divide each side by '15'. z = 1 Simplifying z = 1
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