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Simplifying 8 + 17z + -1 = 8z + 79 + -3z Reorder the terms: 8 + -1 + 17z = 8z + 79 + -3z Combine like terms: 8 + -1 = 7 7 + 17z = 8z + 79 + -3z Reorder the terms: 7 + 17z = 79 + 8z + -3z Combine like terms: 8z + -3z = 5z 7 + 17z = 79 + 5z Solving 7 + 17z = 79 + 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. 7 + 17z + -5z = 79 + 5z + -5z Combine like terms: 17z + -5z = 12z 7 + 12z = 79 + 5z + -5z Combine like terms: 5z + -5z = 0 7 + 12z = 79 + 0 7 + 12z = 79 Add '-7' to each side of the equation. 7 + -7 + 12z = 79 + -7 Combine like terms: 7 + -7 = 0 0 + 12z = 79 + -7 12z = 79 + -7 Combine like terms: 79 + -7 = 72 12z = 72 Divide each side by '12'. z = 6 Simplifying z = 6
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