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Simplifying 43 + -3z = 6z + -2 Reorder the terms: 43 + -3z = -2 + 6z Solving 43 + -3z = -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. 43 + -3z + -6z = -2 + 6z + -6z Combine like terms: -3z + -6z = -9z 43 + -9z = -2 + 6z + -6z Combine like terms: 6z + -6z = 0 43 + -9z = -2 + 0 43 + -9z = -2 Add '-43' to each side of the equation. 43 + -43 + -9z = -2 + -43 Combine like terms: 43 + -43 = 0 0 + -9z = -2 + -43 -9z = -2 + -43 Combine like terms: -2 + -43 = -45 -9z = -45 Divide each side by '-9'. z = 5 Simplifying z = 5
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