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Simplifying -25z + 1 + 35 = 10z + 1 Reorder the terms: 1 + 35 + -25z = 10z + 1 Combine like terms: 1 + 35 = 36 36 + -25z = 10z + 1 Reorder the terms: 36 + -25z = 1 + 10z Solving 36 + -25z = 1 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 36 + -25z + -10z = 1 + 10z + -10z Combine like terms: -25z + -10z = -35z 36 + -35z = 1 + 10z + -10z Combine like terms: 10z + -10z = 0 36 + -35z = 1 + 0 36 + -35z = 1 Add '-36' to each side of the equation. 36 + -36 + -35z = 1 + -36 Combine like terms: 36 + -36 = 0 0 + -35z = 1 + -36 -35z = 1 + -36 Combine like terms: 1 + -36 = -35 -35z = -35 Divide each side by '-35'. z = 1 Simplifying z = 1
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