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Simplifying 4(2Z + 2) + -1 = 7(z + -1) + 16 Reorder the terms: 4(2 + 2Z) + -1 = 7(z + -1) + 16 (2 * 4 + 2Z * 4) + -1 = 7(z + -1) + 16 (8 + 8Z) + -1 = 7(z + -1) + 16 Reorder the terms: 8 + -1 + 8Z = 7(z + -1) + 16 Combine like terms: 8 + -1 = 7 7 + 8Z = 7(z + -1) + 16 Reorder the terms: 7 + 8Z = 7(-1 + z) + 16 7 + 8Z = (-1 * 7 + z * 7) + 16 7 + 8Z = (-7 + 7z) + 16 Reorder the terms: 7 + 8Z = -7 + 16 + 7z Combine like terms: -7 + 16 = 9 7 + 8Z = 9 + 7z Solving 7 + 8Z = 9 + 7z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8Z = 9 + -7 + 7z Combine like terms: 7 + -7 = 0 0 + 8Z = 9 + -7 + 7z 8Z = 9 + -7 + 7z Combine like terms: 9 + -7 = 2 8Z = 2 + 7z Divide each side by '8'. Z = 0.25 + 0.875z Simplifying Z = 0.25 + 0.875z
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