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Simplifying 7 + 8z + -5 = 7z + 56 + -5z Reorder the terms: 7 + -5 + 8z = 7z + 56 + -5z Combine like terms: 7 + -5 = 2 2 + 8z = 7z + 56 + -5z Reorder the terms: 2 + 8z = 56 + 7z + -5z Combine like terms: 7z + -5z = 2z 2 + 8z = 56 + 2z Solving 2 + 8z = 56 + 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. 2 + 8z + -2z = 56 + 2z + -2z Combine like terms: 8z + -2z = 6z 2 + 6z = 56 + 2z + -2z Combine like terms: 2z + -2z = 0 2 + 6z = 56 + 0 2 + 6z = 56 Add '-2' to each side of the equation. 2 + -2 + 6z = 56 + -2 Combine like terms: 2 + -2 = 0 0 + 6z = 56 + -2 6z = 56 + -2 Combine like terms: 56 + -2 = 54 6z = 54 Divide each side by '6'. z = 9 Simplifying z = 9
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