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Simplifying -2(7 + -11z) = 8z (7 * -2 + -11z * -2) = 8z (-14 + 22z) = 8z Solving -14 + 22z = 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -14 + 22z + -8z = 8z + -8z Combine like terms: 22z + -8z = 14z -14 + 14z = 8z + -8z Combine like terms: 8z + -8z = 0 -14 + 14z = 0 Add '14' to each side of the equation. -14 + 14 + 14z = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 14z = 0 + 14 14z = 0 + 14 Combine like terms: 0 + 14 = 14 14z = 14 Divide each side by '14'. z = 1 Simplifying z = 1
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