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Simplifying z + -2 = 7z + 2 Reorder the terms: -2 + z = 7z + 2 Reorder the terms: -2 + z = 2 + 7z Solving -2 + z = 2 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -2 + z + -7z = 2 + 7z + -7z Combine like terms: z + -7z = -6z -2 + -6z = 2 + 7z + -7z Combine like terms: 7z + -7z = 0 -2 + -6z = 2 + 0 -2 + -6z = 2 Add '2' to each side of the equation. -2 + 2 + -6z = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -6z = 2 + 2 -6z = 2 + 2 Combine like terms: 2 + 2 = 4 -6z = 4 Divide each side by '-6'. z = -0.6666666667 Simplifying z = -0.6666666667
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