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Simplifying z + 2 = 7z + -8 Reorder the terms: 2 + z = 7z + -8 Reorder the terms: 2 + z = -8 + 7z Solving 2 + z = -8 + 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 = -8 + 7z + -7z Combine like terms: z + -7z = -6z 2 + -6z = -8 + 7z + -7z Combine like terms: 7z + -7z = 0 2 + -6z = -8 + 0 2 + -6z = -8 Add '-2' to each side of the equation. 2 + -2 + -6z = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -6z = -8 + -2 -6z = -8 + -2 Combine like terms: -8 + -2 = -10 -6z = -10 Divide each side by '-6'. z = 1.666666667 Simplifying z = 1.666666667
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