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Simplifying 35z + 12 + -15z = 10z + -18 Reorder the terms: 12 + 35z + -15z = 10z + -18 Combine like terms: 35z + -15z = 20z 12 + 20z = 10z + -18 Reorder the terms: 12 + 20z = -18 + 10z Solving 12 + 20z = -18 + 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. 12 + 20z + -10z = -18 + 10z + -10z Combine like terms: 20z + -10z = 10z 12 + 10z = -18 + 10z + -10z Combine like terms: 10z + -10z = 0 12 + 10z = -18 + 0 12 + 10z = -18 Add '-12' to each side of the equation. 12 + -12 + 10z = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 10z = -18 + -12 10z = -18 + -12 Combine like terms: -18 + -12 = -30 10z = -30 Divide each side by '10'. z = -3 Simplifying z = -3
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