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Simplifying 6z + -1 + 17.5z + -1.5 = 23z + -1 Reorder the terms: -1 + -1.5 + 6z + 17.5z = 23z + -1 Combine like terms: -1 + -1.5 = -2.5 -2.5 + 6z + 17.5z = 23z + -1 Combine like terms: 6z + 17.5z = 23.5z -2.5 + 23.5z = 23z + -1 Reorder the terms: -2.5 + 23.5z = -1 + 23z Solving -2.5 + 23.5z = -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. -2.5 + 23.5z + -23z = -1 + 23z + -23z Combine like terms: 23.5z + -23z = 0.5z -2.5 + 0.5z = -1 + 23z + -23z Combine like terms: 23z + -23z = 0 -2.5 + 0.5z = -1 + 0 -2.5 + 0.5z = -1 Add '2.5' to each side of the equation. -2.5 + 2.5 + 0.5z = -1 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 0.5z = -1 + 2.5 0.5z = -1 + 2.5 Combine like terms: -1 + 2.5 = 1.5 0.5z = 1.5 Divide each side by '0.5'. z = 3 Simplifying z = 3
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