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Simplifying 7z + -1 = 8z + -6 Reorder the terms: -1 + 7z = 8z + -6 Reorder the terms: -1 + 7z = -6 + 8z Solving -1 + 7z = -6 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -1 + 7z + -8z = -6 + 8z + -8z Combine like terms: 7z + -8z = -1z -1 + -1z = -6 + 8z + -8z Combine like terms: 8z + -8z = 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 = -5 -1z = -5 Divide each side by '-1'. z = 5 Simplifying z = 5
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