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Simplifying 7(2 + c) = 6(7 + c) (2 * 7 + c * 7) = 6(7 + c) (14 + 7c) = 6(7 + c) 14 + 7c = (7 * 6 + c * 6) 14 + 7c = (42 + 6c) Solving 14 + 7c = 42 + 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. 14 + 7c + -6c = 42 + 6c + -6c Combine like terms: 7c + -6c = 1c 14 + 1c = 42 + 6c + -6c Combine like terms: 6c + -6c = 0 14 + 1c = 42 + 0 14 + 1c = 42 Add '-14' to each side of the equation. 14 + -14 + 1c = 42 + -14 Combine like terms: 14 + -14 = 0 0 + 1c = 42 + -14 1c = 42 + -14 Combine like terms: 42 + -14 = 28 1c = 28 Divide each side by '1'. c = 28 Simplifying c = 28
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