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