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Simplifying -4 + -9z = -31 + -3z Solving -4 + -9z = -31 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -4 + -9z + 3z = -31 + -3z + 3z Combine like terms: -9z + 3z = -6z -4 + -6z = -31 + -3z + 3z Combine like terms: -3z + 3z = 0 -4 + -6z = -31 + 0 -4 + -6z = -31 Add '4' to each side of the equation. -4 + 4 + -6z = -31 + 4 Combine like terms: -4 + 4 = 0 0 + -6z = -31 + 4 -6z = -31 + 4 Combine like terms: -31 + 4 = -27 -6z = -27 Divide each side by '-6'. z = 4.5 Simplifying z = 4.5
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