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Simplifying 6(4Z + 2) = (8Z + 4) Reorder the terms: 6(2 + 4Z) = (8Z + 4) (2 * 6 + 4Z * 6) = (8Z + 4) (12 + 24Z) = (8Z + 4) Reorder the terms: 12 + 24Z = (4 + 8Z) Remove parenthesis around (4 + 8Z) 12 + 24Z = 4 + 8Z Solving 12 + 24Z = 4 + 8Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-8Z' to each side of the equation. 12 + 24Z + -8Z = 4 + 8Z + -8Z Combine like terms: 24Z + -8Z = 16Z 12 + 16Z = 4 + 8Z + -8Z Combine like terms: 8Z + -8Z = 0 12 + 16Z = 4 + 0 12 + 16Z = 4 Add '-12' to each side of the equation. 12 + -12 + 16Z = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 16Z = 4 + -12 16Z = 4 + -12 Combine like terms: 4 + -12 = -8 16Z = -8 Divide each side by '16'. Z = -0.5 Simplifying Z = -0.5
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