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Simplifying 2(4z + 1) + -7 = 67 Reorder the terms: 2(1 + 4z) + -7 = 67 (1 * 2 + 4z * 2) + -7 = 67 (2 + 8z) + -7 = 67 Reorder the terms: 2 + -7 + 8z = 67 Combine like terms: 2 + -7 = -5 -5 + 8z = 67 Solving -5 + 8z = 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 + 8z = 67 + 5 Combine like terms: -5 + 5 = 0 0 + 8z = 67 + 5 8z = 67 + 5 Combine like terms: 67 + 5 = 72 8z = 72 Divide each side by '8'. z = 9 Simplifying z = 9
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