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Simplifying 2(4z + 1) + -8 = 50 Reorder the terms: 2(1 + 4z) + -8 = 50 (1 * 2 + 4z * 2) + -8 = 50 (2 + 8z) + -8 = 50 Reorder the terms: 2 + -8 + 8z = 50 Combine like terms: 2 + -8 = -6 -6 + 8z = 50 Solving -6 + 8z = 50 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 + 8z = 50 + 6 Combine like terms: -6 + 6 = 0 0 + 8z = 50 + 6 8z = 50 + 6 Combine like terms: 50 + 6 = 56 8z = 56 Divide each side by '8'. z = 7 Simplifying z = 7
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