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Simplifying 7z + 1 = z + -11 Reorder the terms: 1 + 7z = z + -11 Reorder the terms: 1 + 7z = -11 + z Solving 1 + 7z = -11 + 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 = -11 + z + -1z Combine like terms: 7z + -1z = 6z 1 + 6z = -11 + z + -1z Combine like terms: z + -1z = 0 1 + 6z = -11 + 0 1 + 6z = -11 Add '-1' to each side of the equation. 1 + -1 + 6z = -11 + -1 Combine like terms: 1 + -1 = 0 0 + 6z = -11 + -1 6z = -11 + -1 Combine like terms: -11 + -1 = -12 6z = -12 Divide each side by '6'. z = -2 Simplifying z = -2
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