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Simplifying 7(2 + c) = 6(c + -6) (2 * 7 + c * 7) = 6(c + -6) (14 + 7c) = 6(c + -6) Reorder the terms: 14 + 7c = 6(-6 + c) 14 + 7c = (-6 * 6 + c * 6) 14 + 7c = (-36 + 6c) Solving 14 + 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. 14 + 7c + -6c = -36 + 6c + -6c Combine like terms: 7c + -6c = 1c 14 + 1c = -36 + 6c + -6c Combine like terms: 6c + -6c = 0 14 + 1c = -36 + 0 14 + 1c = -36 Add '-14' to each side of the equation. 14 + -14 + 1c = -36 + -14 Combine like terms: 14 + -14 = 0 0 + 1c = -36 + -14 1c = -36 + -14 Combine like terms: -36 + -14 = -50 1c = -50 Divide each side by '1'. c = -50 Simplifying c = -50
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