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Simplifying 2(6z + 1) + -8 = 66 Reorder the terms: 2(1 + 6z) + -8 = 66 (1 * 2 + 6z * 2) + -8 = 66 (2 + 12z) + -8 = 66 Reorder the terms: 2 + -8 + 12z = 66 Combine like terms: 2 + -8 = -6 -6 + 12z = 66 Solving -6 + 12z = 66 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 12z = 66 + 6 Combine like terms: -6 + 6 = 0 0 + 12z = 66 + 6 12z = 66 + 6 Combine like terms: 66 + 6 = 72 12z = 72 Divide each side by '12'. z = 6 Simplifying z = 6
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