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Simplifying -43 + -2 = 2 + -6z Combine like terms: -43 + -2 = -45 -45 = 2 + -6z Solving -45 = 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. -45 + 6z = 2 + -6z + 6z Combine like terms: -6z + 6z = 0 -45 + 6z = 2 + 0 -45 + 6z = 2 Add '45' to each side of the equation. -45 + 45 + 6z = 2 + 45 Combine like terms: -45 + 45 = 0 0 + 6z = 2 + 45 6z = 2 + 45 Combine like terms: 2 + 45 = 47 6z = 47 Divide each side by '6'. z = 7.833333333 Simplifying z = 7.833333333
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