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Simplifying 7(7 + c) = 6(6 + c) (7 * 7 + c * 7) = 6(6 + c) (49 + 7c) = 6(6 + c) 49 + 7c = (6 * 6 + c * 6) 49 + 7c = (36 + 6c) Solving 49 + 7c = 36 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 49 + 7c + -6c = 36 + 6c + -6c Combine like terms: 7c + -6c = 1c 49 + 1c = 36 + 6c + -6c Combine like terms: 6c + -6c = 0 49 + 1c = 36 + 0 49 + 1c = 36 Add '-49' to each side of the equation. 49 + -49 + 1c = 36 + -49 Combine like terms: 49 + -49 = 0 0 + 1c = 36 + -49 1c = 36 + -49 Combine like terms: 36 + -49 = -13 1c = -13 Divide each side by '1'. c = -13 Simplifying c = -13
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