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Simplifying 20 + -4[c + -3 + -6(2c + 3)] = 5(3c + -2) + -1[2(7c + -8) + -4c + 7] Reorder the terms: 20 + -4[c + -3 + -6(3 + 2c)] = 5(3c + -2) + -1[2(7c + -8) + -4c + 7] 20 + -4[c + -3 + (3 * -6 + 2c * -6)] = 5(3c + -2) + -1[2(7c + -8) + -4c + 7] 20 + -4[c + -3 + (-18 + -12c)] = 5(3c + -2) + -1[2(7c + -8) + -4c + 7] Reorder the terms: 20 + -4[-3 + -18 + c + -12c] = 5(3c + -2) + -1[2(7c + -8) + -4c + 7] Combine like terms: -3 + -18 = -21 20 + -4[-21 + c + -12c] = 5(3c + -2) + -1[2(7c + -8) + -4c + 7] Combine like terms: c + -12c = -11c 20 + -4[-21 + -11c] = 5(3c + -2) + -1[2(7c + -8) + -4c + 7] 20 + [-21 * -4 + -11c * -4] = 5(3c + -2) + -1[2(7c + -8) + -4c + 7] 20 + [84 + 44c] = 5(3c + -2) + -1[2(7c + -8) + -4c + 7] Combine like terms: 20 + 84 = 104 104 + 44c = 5(3c + -2) + -1[2(7c + -8) + -4c + 7] Reorder the terms: 104 + 44c = 5(-2 + 3c) + -1[2(7c + -8) + -4c + 7] 104 + 44c = (-2 * 5 + 3c * 5) + -1[2(7c + -8) + -4c + 7] 104 + 44c = (-10 + 15c) + -1[2(7c + -8) + -4c + 7] Reorder the terms: 104 + 44c = -10 + 15c + -1[2(-8 + 7c) + -4c + 7] 104 + 44c = -10 + 15c + -1[(-8 * 2 + 7c * 2) + -4c + 7] 104 + 44c = -10 + 15c + -1[(-16 + 14c) + -4c + 7] Reorder the terms: 104 + 44c = -10 + 15c + -1[-16 + 7 + 14c + -4c] Combine like terms: -16 + 7 = -9 104 + 44c = -10 + 15c + -1[-9 + 14c + -4c] Combine like terms: 14c + -4c = 10c 104 + 44c = -10 + 15c + -1[-9 + 10c] 104 + 44c = -10 + 15c + [-9 * -1 + 10c * -1] 104 + 44c = -10 + 15c + [9 + -10c] Reorder the terms: 104 + 44c = -10 + 9 + 15c + -10c Combine like terms: -10 + 9 = -1 104 + 44c = -1 + 15c + -10c Combine like terms: 15c + -10c = 5c 104 + 44c = -1 + 5c Solving 104 + 44c = -1 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 104 + 44c + -5c = -1 + 5c + -5c Combine like terms: 44c + -5c = 39c 104 + 39c = -1 + 5c + -5c Combine like terms: 5c + -5c = 0 104 + 39c = -1 + 0 104 + 39c = -1 Add '-104' to each side of the equation. 104 + -104 + 39c = -1 + -104 Combine like terms: 104 + -104 = 0 0 + 39c = -1 + -104 39c = -1 + -104 Combine like terms: -1 + -104 = -105 39c = -105 Divide each side by '39'. c = -2.692307692 Simplifying c = -2.692307692
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