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Simplifying 6z + -1 + 17.5 + -1.5 = 23z + -1 Reorder the terms: -1 + 17.5 + -1.5 + 6z = 23z + -1 Combine like terms: -1 + 17.5 = 16.5 16.5 + -1.5 + 6z = 23z + -1 Combine like terms: 16.5 + -1.5 = 15 15 + 6z = 23z + -1 Reorder the terms: 15 + 6z = -1 + 23z Solving 15 + 6z = -1 + 23z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-23z' to each side of the equation. 15 + 6z + -23z = -1 + 23z + -23z Combine like terms: 6z + -23z = -17z 15 + -17z = -1 + 23z + -23z Combine like terms: 23z + -23z = 0 15 + -17z = -1 + 0 15 + -17z = -1 Add '-15' to each side of the equation. 15 + -15 + -17z = -1 + -15 Combine like terms: 15 + -15 = 0 0 + -17z = -1 + -15 -17z = -1 + -15 Combine like terms: -1 + -15 = -16 -17z = -16 Divide each side by '-17'. z = 0.9411764706 Simplifying z = 0.9411764706
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