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Simplifying (4c + -3) + 11 = 3[2 + -3(2c + 8c + -1) + 5c] Reorder the terms: (-3 + 4c) + 11 = 3[2 + -3(2c + 8c + -1) + 5c] Remove parenthesis around (-3 + 4c) -3 + 4c + 11 = 3[2 + -3(2c + 8c + -1) + 5c] Reorder the terms: -3 + 11 + 4c = 3[2 + -3(2c + 8c + -1) + 5c] Combine like terms: -3 + 11 = 8 8 + 4c = 3[2 + -3(2c + 8c + -1) + 5c] Reorder the terms: 8 + 4c = 3[2 + -3(-1 + 2c + 8c) + 5c] Combine like terms: 2c + 8c = 10c 8 + 4c = 3[2 + -3(-1 + 10c) + 5c] 8 + 4c = 3[2 + (-1 * -3 + 10c * -3) + 5c] 8 + 4c = 3[2 + (3 + -30c) + 5c] Combine like terms: 2 + 3 = 5 8 + 4c = 3[5 + -30c + 5c] Combine like terms: -30c + 5c = -25c 8 + 4c = 3[5 + -25c] 8 + 4c = [5 * 3 + -25c * 3] 8 + 4c = [15 + -75c] Solving 8 + 4c = 15 + -75c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '75c' to each side of the equation. 8 + 4c + 75c = 15 + -75c + 75c Combine like terms: 4c + 75c = 79c 8 + 79c = 15 + -75c + 75c Combine like terms: -75c + 75c = 0 8 + 79c = 15 + 0 8 + 79c = 15 Add '-8' to each side of the equation. 8 + -8 + 79c = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 79c = 15 + -8 79c = 15 + -8 Combine like terms: 15 + -8 = 7 79c = 7 Divide each side by '79'. c = 0.08860759494 Simplifying c = 0.08860759494
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