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Simplifying 7z + 6 + -5z = 55 + -5z Reorder the terms: 6 + 7z + -5z = 55 + -5z Combine like terms: 7z + -5z = 2z 6 + 2z = 55 + -5z Solving 6 + 2z = 55 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 6 + 2z + 5z = 55 + -5z + 5z Combine like terms: 2z + 5z = 7z 6 + 7z = 55 + -5z + 5z Combine like terms: -5z + 5z = 0 6 + 7z = 55 + 0 6 + 7z = 55 Add '-6' to each side of the equation. 6 + -6 + 7z = 55 + -6 Combine like terms: 6 + -6 = 0 0 + 7z = 55 + -6 7z = 55 + -6 Combine like terms: 55 + -6 = 49 7z = 49 Divide each side by '7'. z = 7 Simplifying z = 7
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