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Simplifying 7z + -5 + 2 = z + 29 Reorder the terms: -5 + 2 + 7z = z + 29 Combine like terms: -5 + 2 = -3 -3 + 7z = z + 29 Reorder the terms: -3 + 7z = 29 + z Solving -3 + 7z = 29 + 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. -3 + 7z + -1z = 29 + z + -1z Combine like terms: 7z + -1z = 6z -3 + 6z = 29 + z + -1z Combine like terms: z + -1z = 0 -3 + 6z = 29 + 0 -3 + 6z = 29 Add '3' to each side of the equation. -3 + 3 + 6z = 29 + 3 Combine like terms: -3 + 3 = 0 0 + 6z = 29 + 3 6z = 29 + 3 Combine like terms: 29 + 3 = 32 6z = 32 Divide each side by '6'. z = 5.333333333 Simplifying z = 5.333333333
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