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Simplifying 2(4z + 1) + -6 = 36 Reorder the terms: 2(1 + 4z) + -6 = 36 (1 * 2 + 4z * 2) + -6 = 36 (2 + 8z) + -6 = 36 Reorder the terms: 2 + -6 + 8z = 36 Combine like terms: 2 + -6 = -4 -4 + 8z = 36 Solving -4 + 8z = 36 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 8z = 36 + 4 Combine like terms: -4 + 4 = 0 0 + 8z = 36 + 4 8z = 36 + 4 Combine like terms: 36 + 4 = 40 8z = 40 Divide each side by '8'. z = 5 Simplifying z = 5
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