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Simplifying (9 + 21) * 9 = (13 + c) * 13 Combine like terms: 9 + 21 = 30 (30) * 9 = (13 + c) * 13 Multiply 30 * 9 270 = (13 + c) * 13 Reorder the terms for easier multiplication: 270 = 13(13 + c) 270 = (13 * 13 + c * 13) 270 = (169 + 13c) Solving 270 = 169 + 13c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-13c' to each side of the equation. 270 + -13c = 169 + 13c + -13c Combine like terms: 13c + -13c = 0 270 + -13c = 169 + 0 270 + -13c = 169 Add '-270' to each side of the equation. 270 + -270 + -13c = 169 + -270 Combine like terms: 270 + -270 = 0 0 + -13c = 169 + -270 -13c = 169 + -270 Combine like terms: 169 + -270 = -101 -13c = -101 Divide each side by '-13'. c = 7.769230769 Simplifying c = 7.769230769
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