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Simplifying (10 + 20) * 10 = (14 + c) * 14 Combine like terms: 10 + 20 = 30 (30) * 10 = (14 + c) * 14 Multiply 30 * 10 300 = (14 + c) * 14 Reorder the terms for easier multiplication: 300 = 14(14 + c) 300 = (14 * 14 + c * 14) 300 = (196 + 14c) Solving 300 = 196 + 14c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14c' to each side of the equation. 300 + -14c = 196 + 14c + -14c Combine like terms: 14c + -14c = 0 300 + -14c = 196 + 0 300 + -14c = 196 Add '-300' to each side of the equation. 300 + -300 + -14c = 196 + -300 Combine like terms: 300 + -300 = 0 0 + -14c = 196 + -300 -14c = 196 + -300 Combine like terms: 196 + -300 = -104 -14c = -104 Divide each side by '-14'. c = 7.428571429 Simplifying c = 7.428571429
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