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Simplifying 8z + -17 + 5z + 37 = 17z + -4 Reorder the terms: -17 + 37 + 8z + 5z = 17z + -4 Combine like terms: -17 + 37 = 20 20 + 8z + 5z = 17z + -4 Combine like terms: 8z + 5z = 13z 20 + 13z = 17z + -4 Reorder the terms: 20 + 13z = -4 + 17z Solving 20 + 13z = -4 + 17z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-17z' to each side of the equation. 20 + 13z + -17z = -4 + 17z + -17z Combine like terms: 13z + -17z = -4z 20 + -4z = -4 + 17z + -17z Combine like terms: 17z + -17z = 0 20 + -4z = -4 + 0 20 + -4z = -4 Add '-20' to each side of the equation. 20 + -20 + -4z = -4 + -20 Combine like terms: 20 + -20 = 0 0 + -4z = -4 + -20 -4z = -4 + -20 Combine like terms: -4 + -20 = -24 -4z = -24 Divide each side by '-4'. z = 6 Simplifying z = 6
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