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Simplifying 6 = -2(7 + 1c) 6 = (7 * -2 + 1c * -2) 6 = (-14 + -2c) Solving 6 = -14 + -2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2c' to each side of the equation. 6 + 2c = -14 + -2c + 2c Combine like terms: -2c + 2c = 0 6 + 2c = -14 + 0 6 + 2c = -14 Add '-6' to each side of the equation. 6 + -6 + 2c = -14 + -6 Combine like terms: 6 + -6 = 0 0 + 2c = -14 + -6 2c = -14 + -6 Combine like terms: -14 + -6 = -20 2c = -20 Divide each side by '2'. c = -10 Simplifying c = -10
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