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