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Simplifying 7(c + 7) = 6c + -3 Reorder the terms: 7(7 + c) = 6c + -3 (7 * 7 + c * 7) = 6c + -3 (49 + 7c) = 6c + -3 Reorder the terms: 49 + 7c = -3 + 6c Solving 49 + 7c = -3 + 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 = -3 + 6c + -6c Combine like terms: 7c + -6c = 1c 49 + 1c = -3 + 6c + -6c Combine like terms: 6c + -6c = 0 49 + 1c = -3 + 0 49 + 1c = -3 Add '-49' to each side of the equation. 49 + -49 + 1c = -3 + -49 Combine like terms: 49 + -49 = 0 0 + 1c = -3 + -49 1c = -3 + -49 Combine like terms: -3 + -49 = -52 1c = -52 Divide each side by '1'. c = -52 Simplifying c = -52
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