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Simplifying 12z + -2 + 35z + -3 = 23z + -1 Reorder the terms: -2 + -3 + 12z + 35z = 23z + -1 Combine like terms: -2 + -3 = -5 -5 + 12z + 35z = 23z + -1 Combine like terms: 12z + 35z = 47z -5 + 47z = 23z + -1 Reorder the terms: -5 + 47z = -1 + 23z Solving -5 + 47z = -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. -5 + 47z + -23z = -1 + 23z + -23z Combine like terms: 47z + -23z = 24z -5 + 24z = -1 + 23z + -23z Combine like terms: 23z + -23z = 0 -5 + 24z = -1 + 0 -5 + 24z = -1 Add '5' to each side of the equation. -5 + 5 + 24z = -1 + 5 Combine like terms: -5 + 5 = 0 0 + 24z = -1 + 5 24z = -1 + 5 Combine like terms: -1 + 5 = 4 24z = 4 Divide each side by '24'. z = 0.1666666667 Simplifying z = 0.1666666667
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