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Simplifying 31 + 7z = -5(6z + -3) Reorder the terms: 31 + 7z = -5(-3 + 6z) 31 + 7z = (-3 * -5 + 6z * -5) 31 + 7z = (15 + -30z) Solving 31 + 7z = 15 + -30z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '30z' to each side of the equation. 31 + 7z + 30z = 15 + -30z + 30z Combine like terms: 7z + 30z = 37z 31 + 37z = 15 + -30z + 30z Combine like terms: -30z + 30z = 0 31 + 37z = 15 + 0 31 + 37z = 15 Add '-31' to each side of the equation. 31 + -31 + 37z = 15 + -31 Combine like terms: 31 + -31 = 0 0 + 37z = 15 + -31 37z = 15 + -31 Combine like terms: 15 + -31 = -16 37z = -16 Divide each side by '37'. z = -0.4324324324 Simplifying z = -0.4324324324
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