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Simplifying 3(3z + 9) = 9 + -2(z + -9) Reorder the terms: 3(9 + 3z) = 9 + -2(z + -9) (9 * 3 + 3z * 3) = 9 + -2(z + -9) (27 + 9z) = 9 + -2(z + -9) Reorder the terms: 27 + 9z = 9 + -2(-9 + z) 27 + 9z = 9 + (-9 * -2 + z * -2) 27 + 9z = 9 + (18 + -2z) Combine like terms: 9 + 18 = 27 27 + 9z = 27 + -2z Add '-27' to each side of the equation. 27 + -27 + 9z = 27 + -27 + -2z Combine like terms: 27 + -27 = 0 0 + 9z = 27 + -27 + -2z 9z = 27 + -27 + -2z Combine like terms: 27 + -27 = 0 9z = 0 + -2z 9z = -2z Solving 9z = -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 9z + 2z = -2z + 2z Combine like terms: 9z + 2z = 11z 11z = -2z + 2z Combine like terms: -2z + 2z = 0 11z = 0 Divide each side by '11'. z = 0 Simplifying z = 0
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