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Simplifying 198 = 6(11 + 2z) 198 = (11 * 6 + 2z * 6) 198 = (66 + 12z) Solving 198 = 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. 198 + -12z = 66 + 12z + -12z Combine like terms: 12z + -12z = 0 198 + -12z = 66 + 0 198 + -12z = 66 Add '-198' to each side of the equation. 198 + -198 + -12z = 66 + -198 Combine like terms: 198 + -198 = 0 0 + -12z = 66 + -198 -12z = 66 + -198 Combine like terms: 66 + -198 = -132 -12z = -132 Divide each side by '-12'. z = 11 Simplifying z = 11
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