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Simplifying 8z + 7 + -7z = 55 + -7z Reorder the terms: 7 + 8z + -7z = 55 + -7z Combine like terms: 8z + -7z = 1z 7 + 1z = 55 + -7z Solving 7 + 1z = 55 + -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. 7 + 1z + 7z = 55 + -7z + 7z Combine like terms: 1z + 7z = 8z 7 + 8z = 55 + -7z + 7z Combine like terms: -7z + 7z = 0 7 + 8z = 55 + 0 7 + 8z = 55 Add '-7' to each side of the equation. 7 + -7 + 8z = 55 + -7 Combine like terms: 7 + -7 = 0 0 + 8z = 55 + -7 8z = 55 + -7 Combine like terms: 55 + -7 = 48 8z = 48 Divide each side by '8'. z = 6 Simplifying z = 6
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