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Simplifying 7(2 + c) = 6(c + 1) (2 * 7 + c * 7) = 6(c + 1) (14 + 7c) = 6(c + 1) Reorder the terms: 14 + 7c = 6(1 + c) 14 + 7c = (1 * 6 + c * 6) 14 + 7c = (6 + 6c) Solving 14 + 7c = 6 + 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 = 6 + 6c + -6c Combine like terms: 7c + -6c = 1c 14 + 1c = 6 + 6c + -6c Combine like terms: 6c + -6c = 0 14 + 1c = 6 + 0 14 + 1c = 6 Add '-14' to each side of the equation. 14 + -14 + 1c = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 1c = 6 + -14 1c = 6 + -14 Combine like terms: 6 + -14 = -8 1c = -8 Divide each side by '1'. c = -8 Simplifying c = -8
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