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Simplifying 7 + 17z + -4 = 8z + 15 + -3z Reorder the terms: 7 + -4 + 17z = 8z + 15 + -3z Combine like terms: 7 + -4 = 3 3 + 17z = 8z + 15 + -3z Reorder the terms: 3 + 17z = 15 + 8z + -3z Combine like terms: 8z + -3z = 5z 3 + 17z = 15 + 5z Solving 3 + 17z = 15 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 3 + 17z + -5z = 15 + 5z + -5z Combine like terms: 17z + -5z = 12z 3 + 12z = 15 + 5z + -5z Combine like terms: 5z + -5z = 0 3 + 12z = 15 + 0 3 + 12z = 15 Add '-3' to each side of the equation. 3 + -3 + 12z = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 12z = 15 + -3 12z = 15 + -3 Combine like terms: 15 + -3 = 12 12z = 12 Divide each side by '12'. z = 1 Simplifying z = 1
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