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Simplifying 4 + 8z + -1 = 7z + 21 + -5z Reorder the terms: 4 + -1 + 8z = 7z + 21 + -5z Combine like terms: 4 + -1 = 3 3 + 8z = 7z + 21 + -5z Reorder the terms: 3 + 8z = 21 + 7z + -5z Combine like terms: 7z + -5z = 2z 3 + 8z = 21 + 2z Solving 3 + 8z = 21 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 3 + 8z + -2z = 21 + 2z + -2z Combine like terms: 8z + -2z = 6z 3 + 6z = 21 + 2z + -2z Combine like terms: 2z + -2z = 0 3 + 6z = 21 + 0 3 + 6z = 21 Add '-3' to each side of the equation. 3 + -3 + 6z = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 6z = 21 + -3 6z = 21 + -3 Combine like terms: 21 + -3 = 18 6z = 18 Divide each side by '6'. z = 3 Simplifying z = 3
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