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Simplifying 2(c + 7) + -1c = 5 + -3c + -11 Reorder the terms: 2(7 + c) + -1c = 5 + -3c + -11 (7 * 2 + c * 2) + -1c = 5 + -3c + -11 (14 + 2c) + -1c = 5 + -3c + -11 Combine like terms: 2c + -1c = 1c 14 + 1c = 5 + -3c + -11 Reorder the terms: 14 + 1c = 5 + -11 + -3c Combine like terms: 5 + -11 = -6 14 + 1c = -6 + -3c Solving 14 + 1c = -6 + -3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3c' to each side of the equation. 14 + 1c + 3c = -6 + -3c + 3c Combine like terms: 1c + 3c = 4c 14 + 4c = -6 + -3c + 3c Combine like terms: -3c + 3c = 0 14 + 4c = -6 + 0 14 + 4c = -6 Add '-14' to each side of the equation. 14 + -14 + 4c = -6 + -14 Combine like terms: 14 + -14 = 0 0 + 4c = -6 + -14 4c = -6 + -14 Combine like terms: -6 + -14 = -20 4c = -20 Divide each side by '4'. c = -5 Simplifying c = -5
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