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Simplifying 11 = 7 + 2(3z + 2) Reorder the terms: 11 = 7 + 2(2 + 3z) 11 = 7 + (2 * 2 + 3z * 2) 11 = 7 + (4 + 6z) Combine like terms: 7 + 4 = 11 11 = 11 + 6z Add '-11' to each side of the equation. 11 + -11 = 11 + -11 + 6z Combine like terms: 11 + -11 = 0 0 = 11 + -11 + 6z Combine like terms: 11 + -11 = 0 0 = 0 + 6z 0 = 6z Solving 0 = 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 0 + -6z = 6z + -6z Remove the zero: -6z = 6z + -6z Combine like terms: 6z + -6z = 0 -6z = 0 Divide each side by '-6'. z = 0 Simplifying z = 0
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