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Simplifying -9 + 3z = -9z + -9 + -6z Reorder the terms: -9 + 3z = -9 + -9z + -6z Combine like terms: -9z + -6z = -15z -9 + 3z = -9 + -15z Add '9' to each side of the equation. -9 + 9 + 3z = -9 + 9 + -15z Combine like terms: -9 + 9 = 0 0 + 3z = -9 + 9 + -15z 3z = -9 + 9 + -15z Combine like terms: -9 + 9 = 0 3z = 0 + -15z 3z = -15z Solving 3z = -15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15z' to each side of the equation. 3z + 15z = -15z + 15z Combine like terms: 3z + 15z = 18z 18z = -15z + 15z Combine like terms: -15z + 15z = 0 18z = 0 Divide each side by '18'. z = 0 Simplifying z = 0
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