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Simplifying 4(2z + 1) + -6 = 62 Reorder the terms: 4(1 + 2z) + -6 = 62 (1 * 4 + 2z * 4) + -6 = 62 (4 + 8z) + -6 = 62 Reorder the terms: 4 + -6 + 8z = 62 Combine like terms: 4 + -6 = -2 -2 + 8z = 62 Solving -2 + 8z = 62 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 = 62 + 2 Combine like terms: -2 + 2 = 0 0 + 8z = 62 + 2 8z = 62 + 2 Combine like terms: 62 + 2 = 64 8z = 64 Divide each side by '8'. z = 8 Simplifying z = 8
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