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Simplifying Z + 4(2z + 3) = 0 Reorder the terms: Z + 4(3 + 2z) = 0 Z + (3 * 4 + 2z * 4) = 0 Z + (12 + 8z) = 0 Reorder the terms: 12 + Z + 8z = 0 Solving 12 + Z + 8z = 0 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + Z + -12 + 8z = 0 + -12 Reorder the terms: 12 + -12 + Z + 8z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + Z + 8z = 0 + -12 Z + 8z = 0 + -12 Combine like terms: 0 + -12 = -12 Z + 8z = -12 Add '-8z' to each side of the equation. Z + 8z + -8z = -12 + -8z Combine like terms: 8z + -8z = 0 Z + 0 = -12 + -8z Z = -12 + -8z Simplifying Z = -12 + -8z
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