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Simplifying 8 + 18z + -1 = 9z + 55 + -7z Reorder the terms: 8 + -1 + 18z = 9z + 55 + -7z Combine like terms: 8 + -1 = 7 7 + 18z = 9z + 55 + -7z Reorder the terms: 7 + 18z = 55 + 9z + -7z Combine like terms: 9z + -7z = 2z 7 + 18z = 55 + 2z Solving 7 + 18z = 55 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 7 + 18z + -2z = 55 + 2z + -2z Combine like terms: 18z + -2z = 16z 7 + 16z = 55 + 2z + -2z Combine like terms: 2z + -2z = 0 7 + 16z = 55 + 0 7 + 16z = 55 Add '-7' to each side of the equation. 7 + -7 + 16z = 55 + -7 Combine like terms: 7 + -7 = 0 0 + 16z = 55 + -7 16z = 55 + -7 Combine like terms: 55 + -7 = 48 16z = 48 Divide each side by '16'. z = 3 Simplifying z = 3
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