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Simplifying 7z + 7 + -5z = 28 + -5z Reorder the terms: 7 + 7z + -5z = 28 + -5z Combine like terms: 7z + -5z = 2z 7 + 2z = 28 + -5z Solving 7 + 2z = 28 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 7 + 2z + 5z = 28 + -5z + 5z Combine like terms: 2z + 5z = 7z 7 + 7z = 28 + -5z + 5z Combine like terms: -5z + 5z = 0 7 + 7z = 28 + 0 7 + 7z = 28 Add '-7' to each side of the equation. 7 + -7 + 7z = 28 + -7 Combine like terms: 7 + -7 = 0 0 + 7z = 28 + -7 7z = 28 + -7 Combine like terms: 28 + -7 = 21 7z = 21 Divide each side by '7'. z = 3 Simplifying z = 3
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