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Simplifying -7(z + 2) + 3Z = 2z + 8 Reorder the terms: -7(2 + z) + 3Z = 2z + 8 (2 * -7 + z * -7) + 3Z = 2z + 8 (-14 + -7z) + 3Z = 2z + 8 Reorder the terms: -14 + 3Z + -7z = 2z + 8 Reorder the terms: -14 + 3Z + -7z = 8 + 2z Solving -14 + 3Z + -7z = 8 + 2z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 3Z + 14 + -7z = 8 + 14 + 2z Reorder the terms: -14 + 14 + 3Z + -7z = 8 + 14 + 2z Combine like terms: -14 + 14 = 0 0 + 3Z + -7z = 8 + 14 + 2z 3Z + -7z = 8 + 14 + 2z Combine like terms: 8 + 14 = 22 3Z + -7z = 22 + 2z Add '7z' to each side of the equation. 3Z + -7z + 7z = 22 + 2z + 7z Combine like terms: -7z + 7z = 0 3Z + 0 = 22 + 2z + 7z 3Z = 22 + 2z + 7z Combine like terms: 2z + 7z = 9z 3Z = 22 + 9z Divide each side by '3'. Z = 7.333333333 + 3z Simplifying Z = 7.333333333 + 3z
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