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Simplifying 2(4z + 2) + -6 = 38 Reorder the terms: 2(2 + 4z) + -6 = 38 (2 * 2 + 4z * 2) + -6 = 38 (4 + 8z) + -6 = 38 Reorder the terms: 4 + -6 + 8z = 38 Combine like terms: 4 + -6 = -2 -2 + 8z = 38 Solving -2 + 8z = 38 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 8z = 38 + 2 Combine like terms: -2 + 2 = 0 0 + 8z = 38 + 2 8z = 38 + 2 Combine like terms: 38 + 2 = 40 8z = 40 Divide each side by '8'. z = 5 Simplifying z = 5
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