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Simplifying -41 + -9z = -31 + -3z Solving -41 + -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. -41 + -9z + 3z = -31 + -3z + 3z Combine like terms: -9z + 3z = -6z -41 + -6z = -31 + -3z + 3z Combine like terms: -3z + 3z = 0 -41 + -6z = -31 + 0 -41 + -6z = -31 Add '41' to each side of the equation. -41 + 41 + -6z = -31 + 41 Combine like terms: -41 + 41 = 0 0 + -6z = -31 + 41 -6z = -31 + 41 Combine like terms: -31 + 41 = 10 -6z = 10 Divide each side by '-6'. z = -1.666666667 Simplifying z = -1.666666667
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