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Simplifying 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 = 3z 43 + 3z = 2 + -6z + 6z Combine like terms: -6z + 6z = 0 43 + 3z = 2 + 0 43 + 3z = 2 Add '-43' to each side of the equation. 43 + -43 + 3z = 2 + -43 Combine like terms: 43 + -43 = 0 0 + 3z = 2 + -43 3z = 2 + -43 Combine like terms: 2 + -43 = -41 3z = -41 Divide each side by '3'. z = -13.66666667 Simplifying z = -13.66666667
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