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Simplifying 7z + 1 = z + -6 Reorder the terms: 1 + 7z = z + -6 Reorder the terms: 1 + 7z = -6 + z Solving 1 + 7z = -6 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 1 + 7z + -1z = -6 + z + -1z Combine like terms: 7z + -1z = 6z 1 + 6z = -6 + z + -1z Combine like terms: z + -1z = 0 1 + 6z = -6 + 0 1 + 6z = -6 Add '-1' to each side of the equation. 1 + -1 + 6z = -6 + -1 Combine like terms: 1 + -1 = 0 0 + 6z = -6 + -1 6z = -6 + -1 Combine like terms: -6 + -1 = -7 6z = -7 Divide each side by '6'. z = -1.166666667 Simplifying z = -1.166666667
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