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Simplifying 12z + -2 + -23z + -1 = 35z + -3 Reorder the terms: -2 + -1 + 12z + -23z = 35z + -3 Combine like terms: -2 + -1 = -3 -3 + 12z + -23z = 35z + -3 Combine like terms: 12z + -23z = -11z -3 + -11z = 35z + -3 Reorder the terms: -3 + -11z = -3 + 35z Add '3' to each side of the equation. -3 + 3 + -11z = -3 + 3 + 35z Combine like terms: -3 + 3 = 0 0 + -11z = -3 + 3 + 35z -11z = -3 + 3 + 35z Combine like terms: -3 + 3 = 0 -11z = 0 + 35z -11z = 35z Solving -11z = 35z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-35z' to each side of the equation. -11z + -35z = 35z + -35z Combine like terms: -11z + -35z = -46z -46z = 35z + -35z Combine like terms: 35z + -35z = 0 -46z = 0 Divide each side by '-46'. z = 0 Simplifying z = 0
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