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Simplifying 2(4Z + 3) + -8 = 46 Reorder the terms: 2(3 + 4Z) + -8 = 46 (3 * 2 + 4Z * 2) + -8 = 46 (6 + 8Z) + -8 = 46 Reorder the terms: 6 + -8 + 8Z = 46 Combine like terms: 6 + -8 = -2 -2 + 8Z = 46 Solving -2 + 8Z = 46 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 = 46 + 2 Combine like terms: -2 + 2 = 0 0 + 8Z = 46 + 2 8Z = 46 + 2 Combine like terms: 46 + 2 = 48 8Z = 48 Divide each side by '8'. Z = 6 Simplifying Z = 6
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