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Simplifying 6(3 + 2c) + -1(7 + -2) = 3c + -4 (3 * 6 + 2c * 6) + -1(7 + -2) = 3c + -4 (18 + 12c) + -1(7 + -2) = 3c + -4 Combine like terms: 7 + -2 = 5 18 + 12c + -1(5) = 3c + -4 Multiply -1 * 5 18 + 12c + -5 = 3c + -4 Reorder the terms: 18 + -5 + 12c = 3c + -4 Combine like terms: 18 + -5 = 13 13 + 12c = 3c + -4 Reorder the terms: 13 + 12c = -4 + 3c Solving 13 + 12c = -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. 13 + 12c + -3c = -4 + 3c + -3c Combine like terms: 12c + -3c = 9c 13 + 9c = -4 + 3c + -3c Combine like terms: 3c + -3c = 0 13 + 9c = -4 + 0 13 + 9c = -4 Add '-13' to each side of the equation. 13 + -13 + 9c = -4 + -13 Combine like terms: 13 + -13 = 0 0 + 9c = -4 + -13 9c = -4 + -13 Combine like terms: -4 + -13 = -17 9c = -17 Divide each side by '9'. c = -1.888888889 Simplifying c = -1.888888889
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