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Simplifying -7 + (8z + 2) = (7z + 5) + 1 Reorder the terms: -7 + (2 + 8z) = (7z + 5) + 1 Remove parenthesis around (2 + 8z) -7 + 2 + 8z = (7z + 5) + 1 Combine like terms: -7 + 2 = -5 -5 + 8z = (7z + 5) + 1 Reorder the terms: -5 + 8z = (5 + 7z) + 1 Remove parenthesis around (5 + 7z) -5 + 8z = 5 + 7z + 1 Reorder the terms: -5 + 8z = 5 + 1 + 7z Combine like terms: 5 + 1 = 6 -5 + 8z = 6 + 7z Solving -5 + 8z = 6 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -5 + 8z + -7z = 6 + 7z + -7z Combine like terms: 8z + -7z = 1z -5 + 1z = 6 + 7z + -7z Combine like terms: 7z + -7z = 0 -5 + 1z = 6 + 0 -5 + 1z = 6 Add '5' to each side of the equation. -5 + 5 + 1z = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 1z = 6 + 5 1z = 6 + 5 Combine like terms: 6 + 5 = 11 1z = 11 Divide each side by '1'. z = 11 Simplifying z = 11
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