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Simplifying 5 + 7z + -4 = 8z + 33 + -5z Reorder the terms: 5 + -4 + 7z = 8z + 33 + -5z Combine like terms: 5 + -4 = 1 1 + 7z = 8z + 33 + -5z Reorder the terms: 1 + 7z = 33 + 8z + -5z Combine like terms: 8z + -5z = 3z 1 + 7z = 33 + 3z Solving 1 + 7z = 33 + 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. 1 + 7z + -3z = 33 + 3z + -3z Combine like terms: 7z + -3z = 4z 1 + 4z = 33 + 3z + -3z Combine like terms: 3z + -3z = 0 1 + 4z = 33 + 0 1 + 4z = 33 Add '-1' to each side of the equation. 1 + -1 + 4z = 33 + -1 Combine like terms: 1 + -1 = 0 0 + 4z = 33 + -1 4z = 33 + -1 Combine like terms: 33 + -1 = 32 4z = 32 Divide each side by '4'. z = 8 Simplifying z = 8
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