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Simplifying 4z + 31 = 14z + -69 Reorder the terms: 31 + 4z = 14z + -69 Reorder the terms: 31 + 4z = -69 + 14z Solving 31 + 4z = -69 + 14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14z' to each side of the equation. 31 + 4z + -14z = -69 + 14z + -14z Combine like terms: 4z + -14z = -10z 31 + -10z = -69 + 14z + -14z Combine like terms: 14z + -14z = 0 31 + -10z = -69 + 0 31 + -10z = -69 Add '-31' to each side of the equation. 31 + -31 + -10z = -69 + -31 Combine like terms: 31 + -31 = 0 0 + -10z = -69 + -31 -10z = -69 + -31 Combine like terms: -69 + -31 = -100 -10z = -100 Divide each side by '-10'. z = 10 Simplifying z = 10
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