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Simplifying 3z + -6z = 9z + 7 + 3z Combine like terms: 3z + -6z = -3z -3z = 9z + 7 + 3z Reorder the terms: -3z = 7 + 9z + 3z Combine like terms: 9z + 3z = 12z -3z = 7 + 12z Solving -3z = 7 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. -3z + -12z = 7 + 12z + -12z Combine like terms: -3z + -12z = -15z -15z = 7 + 12z + -12z Combine like terms: 12z + -12z = 0 -15z = 7 + 0 -15z = 7 Divide each side by '-15'. z = -0.4666666667 Simplifying z = -0.4666666667
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