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Simplifying 3 + 4 = 6z + -9z + 2 Combine like terms: 3 + 4 = 7 7 = 6z + -9z + 2 Reorder the terms: 7 = 2 + 6z + -9z Combine like terms: 6z + -9z = -3z 7 = 2 + -3z Solving 7 = 2 + -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. 7 + 3z = 2 + -3z + 3z Combine like terms: -3z + 3z = 0 7 + 3z = 2 + 0 7 + 3z = 2 Add '-7' to each side of the equation. 7 + -7 + 3z = 2 + -7 Combine like terms: 7 + -7 = 0 0 + 3z = 2 + -7 3z = 2 + -7 Combine like terms: 2 + -7 = -5 3z = -5 Divide each side by '3'. z = -1.666666667 Simplifying z = -1.666666667
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