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Simplifying 4 + -3z = 9 + -6z Solving 4 + -3z = 9 + -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. 4 + -3z + 6z = 9 + -6z + 6z Combine like terms: -3z + 6z = 3z 4 + 3z = 9 + -6z + 6z Combine like terms: -6z + 6z = 0 4 + 3z = 9 + 0 4 + 3z = 9 Add '-4' to each side of the equation. 4 + -4 + 3z = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 3z = 9 + -4 3z = 9 + -4 Combine like terms: 9 + -4 = 5 3z = 5 Divide each side by '3'. z = 1.666666667 Simplifying z = 1.666666667
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