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Simplifying 7z + 27 = 5z + -15 Reorder the terms: 27 + 7z = 5z + -15 Reorder the terms: 27 + 7z = -15 + 5z Solving 27 + 7z = -15 + 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. 27 + 7z + -5z = -15 + 5z + -5z Combine like terms: 7z + -5z = 2z 27 + 2z = -15 + 5z + -5z Combine like terms: 5z + -5z = 0 27 + 2z = -15 + 0 27 + 2z = -15 Add '-27' to each side of the equation. 27 + -27 + 2z = -15 + -27 Combine like terms: 27 + -27 = 0 0 + 2z = -15 + -27 2z = -15 + -27 Combine like terms: -15 + -27 = -42 2z = -42 Divide each side by '2'. z = -21 Simplifying z = -21
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