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Simplifying 7z + 13 = 5z + -5 Reorder the terms: 13 + 7z = 5z + -5 Reorder the terms: 13 + 7z = -5 + 5z Solving 13 + 7z = -5 + 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. 13 + 7z + -5z = -5 + 5z + -5z Combine like terms: 7z + -5z = 2z 13 + 2z = -5 + 5z + -5z Combine like terms: 5z + -5z = 0 13 + 2z = -5 + 0 13 + 2z = -5 Add '-13' to each side of the equation. 13 + -13 + 2z = -5 + -13 Combine like terms: 13 + -13 = 0 0 + 2z = -5 + -13 2z = -5 + -13 Combine like terms: -5 + -13 = -18 2z = -18 Divide each side by '2'. z = -9 Simplifying z = -9
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