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Simplifying 9 + -4z = -31 + 4z Solving 9 + -4z = -31 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 9 + -4z + -4z = -31 + 4z + -4z Combine like terms: -4z + -4z = -8z 9 + -8z = -31 + 4z + -4z Combine like terms: 4z + -4z = 0 9 + -8z = -31 + 0 9 + -8z = -31 Add '-9' to each side of the equation. 9 + -9 + -8z = -31 + -9 Combine like terms: 9 + -9 = 0 0 + -8z = -31 + -9 -8z = -31 + -9 Combine like terms: -31 + -9 = -40 -8z = -40 Divide each side by '-8'. z = 5 Simplifying z = 5
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