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Simplifying 3z + -4 = 6z + -9z + 6 Reorder the terms: -4 + 3z = 6z + -9z + 6 Reorder the terms: -4 + 3z = 6 + 6z + -9z Combine like terms: 6z + -9z = -3z -4 + 3z = 6 + -3z Solving -4 + 3z = 6 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -4 + 3z + 3z = 6 + -3z + 3z Combine like terms: 3z + 3z = 6z -4 + 6z = 6 + -3z + 3z Combine like terms: -3z + 3z = 0 -4 + 6z = 6 + 0 -4 + 6z = 6 Add '4' to each side of the equation. -4 + 4 + 6z = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 6z = 6 + 4 6z = 6 + 4 Combine like terms: 6 + 4 = 10 6z = 10 Divide each side by '6'. z = 1.666666667 Simplifying z = 1.666666667
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