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Simplifying 6(3 + 2c) + -1(7c + -2) = 3c + -4 (3 * 6 + 2c * 6) + -1(7c + -2) = 3c + -4 (18 + 12c) + -1(7c + -2) = 3c + -4 Reorder the terms: 18 + 12c + -1(-2 + 7c) = 3c + -4 18 + 12c + (-2 * -1 + 7c * -1) = 3c + -4 18 + 12c + (2 + -7c) = 3c + -4 Reorder the terms: 18 + 2 + 12c + -7c = 3c + -4 Combine like terms: 18 + 2 = 20 20 + 12c + -7c = 3c + -4 Combine like terms: 12c + -7c = 5c 20 + 5c = 3c + -4 Reorder the terms: 20 + 5c = -4 + 3c Solving 20 + 5c = -4 + 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. 20 + 5c + -3c = -4 + 3c + -3c Combine like terms: 5c + -3c = 2c 20 + 2c = -4 + 3c + -3c Combine like terms: 3c + -3c = 0 20 + 2c = -4 + 0 20 + 2c = -4 Add '-20' to each side of the equation. 20 + -20 + 2c = -4 + -20 Combine like terms: 20 + -20 = 0 0 + 2c = -4 + -20 2c = -4 + -20 Combine like terms: -4 + -20 = -24 2c = -24 Divide each side by '2'. c = -12 Simplifying c = -12
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