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Simplifying 7[1 + -1(3c + 9 + -2c + -6)] = -14c Reorder the terms: 7[1 + -1(9 + -6 + 3c + -2c)] = -14c Combine like terms: 9 + -6 = 3 7[1 + -1(3 + 3c + -2c)] = -14c Combine like terms: 3c + -2c = 1c 7[1 + -1(3 + 1c)] = -14c 7[1 + (3 * -1 + 1c * -1)] = -14c 7[1 + (-3 + -1c)] = -14c Combine like terms: 1 + -3 = -2 7[-2 + -1c] = -14c [-2 * 7 + -1c * 7] = -14c [-14 + -7c] = -14c Solving -14 + -7c = -14c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '14c' to each side of the equation. -14 + -7c + 14c = -14c + 14c Combine like terms: -7c + 14c = 7c -14 + 7c = -14c + 14c Combine like terms: -14c + 14c = 0 -14 + 7c = 0 Add '14' to each side of the equation. -14 + 14 + 7c = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 7c = 0 + 14 7c = 0 + 14 Combine like terms: 0 + 14 = 14 7c = 14 Divide each side by '7'. c = 2 Simplifying c = 2
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