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Simplifying 11 + 21(11) = (13 + c) * 13 Multiply 21 * 11 11 + 231 = (13 + c) * 13 Combine like terms: 11 + 231 = 242 242 = (13 + c) * 13 Reorder the terms for easier multiplication: 242 = 13(13 + c) 242 = (13 * 13 + c * 13) 242 = (169 + 13c) Solving 242 = 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. 242 + -13c = 169 + 13c + -13c Combine like terms: 13c + -13c = 0 242 + -13c = 169 + 0 242 + -13c = 169 Add '-242' to each side of the equation. 242 + -242 + -13c = 169 + -242 Combine like terms: 242 + -242 = 0 0 + -13c = 169 + -242 -13c = 169 + -242 Combine like terms: 169 + -242 = -73 -13c = -73 Divide each side by '-13'. c = 5.615384615 Simplifying c = 5.615384615
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