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Simplifying 2(z + -11) + 3z = 6 + -9z Reorder the terms: 2(-11 + z) + 3z = 6 + -9z (-11 * 2 + z * 2) + 3z = 6 + -9z (-22 + 2z) + 3z = 6 + -9z Combine like terms: 2z + 3z = 5z -22 + 5z = 6 + -9z Solving -22 + 5z = 6 + -9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9z' to each side of the equation. -22 + 5z + 9z = 6 + -9z + 9z Combine like terms: 5z + 9z = 14z -22 + 14z = 6 + -9z + 9z Combine like terms: -9z + 9z = 0 -22 + 14z = 6 + 0 -22 + 14z = 6 Add '22' to each side of the equation. -22 + 22 + 14z = 6 + 22 Combine like terms: -22 + 22 = 0 0 + 14z = 6 + 22 14z = 6 + 22 Combine like terms: 6 + 22 = 28 14z = 28 Divide each side by '14'. z = 2 Simplifying z = 2
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