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Simplifying -43 + -32 = 2 + -6z Combine like terms: -43 + -32 = -75 -75 = 2 + -6z Solving -75 = 2 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -75 + 6z = 2 + -6z + 6z Combine like terms: -6z + 6z = 0 -75 + 6z = 2 + 0 -75 + 6z = 2 Add '75' to each side of the equation. -75 + 75 + 6z = 2 + 75 Combine like terms: -75 + 75 = 0 0 + 6z = 2 + 75 6z = 2 + 75 Combine like terms: 2 + 75 = 77 6z = 77 Divide each side by '6'. z = 12.83333333 Simplifying z = 12.83333333
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