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Simplifying 2(z + 11) = 6 Reorder the terms: 2(11 + z) = 6 (11 * 2 + z * 2) = 6 (22 + 2z) = 6 Solving 22 + 2z = 6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 2z = 6 + -22 Combine like terms: 22 + -22 = 0 0 + 2z = 6 + -22 2z = 6 + -22 Combine like terms: 6 + -22 = -16 2z = -16 Divide each side by '2'. z = -8 Simplifying z = -8
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