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Simplifying 8 + 16z + -6 = 9z + 58 + -7z Reorder the terms: 8 + -6 + 16z = 9z + 58 + -7z Combine like terms: 8 + -6 = 2 2 + 16z = 9z + 58 + -7z Reorder the terms: 2 + 16z = 58 + 9z + -7z Combine like terms: 9z + -7z = 2z 2 + 16z = 58 + 2z Solving 2 + 16z = 58 + 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 + 16z + -2z = 58 + 2z + -2z Combine like terms: 16z + -2z = 14z 2 + 14z = 58 + 2z + -2z Combine like terms: 2z + -2z = 0 2 + 14z = 58 + 0 2 + 14z = 58 Add '-2' to each side of the equation. 2 + -2 + 14z = 58 + -2 Combine like terms: 2 + -2 = 0 0 + 14z = 58 + -2 14z = 58 + -2 Combine like terms: 58 + -2 = 56 14z = 56 Divide each side by '14'. z = 4 Simplifying z = 4
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