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Simplifying 3(3z + 1) + -8 = 67 Reorder the terms: 3(1 + 3z) + -8 = 67 (1 * 3 + 3z * 3) + -8 = 67 (3 + 9z) + -8 = 67 Reorder the terms: 3 + -8 + 9z = 67 Combine like terms: 3 + -8 = -5 -5 + 9z = 67 Solving -5 + 9z = 67 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 9z = 67 + 5 Combine like terms: -5 + 5 = 0 0 + 9z = 67 + 5 9z = 67 + 5 Combine like terms: 67 + 5 = 72 9z = 72 Divide each side by '9'. z = 8 Simplifying z = 8
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