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Simplifying 5 + 7z = 9z + 13 Reorder the terms: 5 + 7z = 13 + 9z Solving 5 + 7z = 13 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 5 + 7z + -9z = 13 + 9z + -9z Combine like terms: 7z + -9z = -2z 5 + -2z = 13 + 9z + -9z Combine like terms: 9z + -9z = 0 5 + -2z = 13 + 0 5 + -2z = 13 Add '-5' to each side of the equation. 5 + -5 + -2z = 13 + -5 Combine like terms: 5 + -5 = 0 0 + -2z = 13 + -5 -2z = 13 + -5 Combine like terms: 13 + -5 = 8 -2z = 8 Divide each side by '-2'. z = -4 Simplifying z = -4
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