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Simplifying 2(4z + 3) + -8 = 48 Reorder the terms: 2(3 + 4z) + -8 = 48 (3 * 2 + 4z * 2) + -8 = 48 (6 + 8z) + -8 = 48 Reorder the terms: 6 + -8 + 8z = 48 Combine like terms: 6 + -8 = -2 -2 + 8z = 48 Solving -2 + 8z = 48 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 = 48 + 2 Combine like terms: -2 + 2 = 0 0 + 8z = 48 + 2 8z = 48 + 2 Combine like terms: 48 + 2 = 50 8z = 50 Divide each side by '8'. z = 6.25 Simplifying z = 6.25
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