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Simplifying 189 = 6(11 + 2z) 189 = (11 * 6 + 2z * 6) 189 = (66 + 12z) Solving 189 = 66 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 189 + -12z = 66 + 12z + -12z Combine like terms: 12z + -12z = 0 189 + -12z = 66 + 0 189 + -12z = 66 Add '-189' to each side of the equation. 189 + -189 + -12z = 66 + -189 Combine like terms: 189 + -189 = 0 0 + -12z = 66 + -189 -12z = 66 + -189 Combine like terms: 66 + -189 = -123 -12z = -123 Divide each side by '-12'. z = 10.25 Simplifying z = 10.25
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