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Simplifying 6 + 3z + -3 = 9z + 9 + -4z Reorder the terms: 6 + -3 + 3z = 9z + 9 + -4z Combine like terms: 6 + -3 = 3 3 + 3z = 9z + 9 + -4z Reorder the terms: 3 + 3z = 9 + 9z + -4z Combine like terms: 9z + -4z = 5z 3 + 3z = 9 + 5z Solving 3 + 3z = 9 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 3 + 3z + -5z = 9 + 5z + -5z Combine like terms: 3z + -5z = -2z 3 + -2z = 9 + 5z + -5z Combine like terms: 5z + -5z = 0 3 + -2z = 9 + 0 3 + -2z = 9 Add '-3' to each side of the equation. 3 + -3 + -2z = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -2z = 9 + -3 -2z = 9 + -3 Combine like terms: 9 + -3 = 6 -2z = 6 Divide each side by '-2'. z = -3 Simplifying z = -3
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