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Simplifying 7z + -3 = 3z + 29 Reorder the terms: -3 + 7z = 3z + 29 Reorder the terms: -3 + 7z = 29 + 3z Solving -3 + 7z = 29 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -3 + 7z + -3z = 29 + 3z + -3z Combine like terms: 7z + -3z = 4z -3 + 4z = 29 + 3z + -3z Combine like terms: 3z + -3z = 0 -3 + 4z = 29 + 0 -3 + 4z = 29 Add '3' to each side of the equation. -3 + 3 + 4z = 29 + 3 Combine like terms: -3 + 3 = 0 0 + 4z = 29 + 3 4z = 29 + 3 Combine like terms: 29 + 3 = 32 4z = 32 Divide each side by '4'. z = 8 Simplifying z = 8
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