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Simplifying 31 + 3z = -2(7z + 6) Reorder the terms: 31 + 3z = -2(6 + 7z) 31 + 3z = (6 * -2 + 7z * -2) 31 + 3z = (-12 + -14z) Solving 31 + 3z = -12 + -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 + 3z + 14z = -12 + -14z + 14z Combine like terms: 3z + 14z = 17z 31 + 17z = -12 + -14z + 14z Combine like terms: -14z + 14z = 0 31 + 17z = -12 + 0 31 + 17z = -12 Add '-31' to each side of the equation. 31 + -31 + 17z = -12 + -31 Combine like terms: 31 + -31 = 0 0 + 17z = -12 + -31 17z = -12 + -31 Combine like terms: -12 + -31 = -43 17z = -43 Divide each side by '17'. z = -2.529411765 Simplifying z = -2.529411765
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