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Simplifying 7z + 5 = z + -2 Reorder the terms: 5 + 7z = z + -2 Reorder the terms: 5 + 7z = -2 + z Solving 5 + 7z = -2 + 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. 5 + 7z + -1z = -2 + z + -1z Combine like terms: 7z + -1z = 6z 5 + 6z = -2 + z + -1z Combine like terms: z + -1z = 0 5 + 6z = -2 + 0 5 + 6z = -2 Add '-5' to each side of the equation. 5 + -5 + 6z = -2 + -5 Combine like terms: 5 + -5 = 0 0 + 6z = -2 + -5 6z = -2 + -5 Combine like terms: -2 + -5 = -7 6z = -7 Divide each side by '6'. z = -1.166666667 Simplifying z = -1.166666667
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