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Simplifying -7z + 1 = -6z + 8 Reorder the terms: 1 + -7z = -6z + 8 Reorder the terms: 1 + -7z = 8 + -6z Solving 1 + -7z = 8 + -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 = 8 + -6z + 6z Combine like terms: -7z + 6z = -1z 1 + -1z = 8 + -6z + 6z Combine like terms: -6z + 6z = 0 1 + -1z = 8 + 0 1 + -1z = 8 Add '-1' to each side of the equation. 1 + -1 + -1z = 8 + -1 Combine like terms: 1 + -1 = 0 0 + -1z = 8 + -1 -1z = 8 + -1 Combine like terms: 8 + -1 = 7 -1z = 7 Divide each side by '-1'. z = -7 Simplifying z = -7
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