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Simplifying 5(4c + -3) + 11 = 3(2 + -3(2c + 8c + -1) + 5c) Reorder the terms: 5(-3 + 4c) + 11 = 3(2 + -3(2c + 8c + -1) + 5c) (-3 * 5 + 4c * 5) + 11 = 3(2 + -3(2c + 8c + -1) + 5c) (-15 + 20c) + 11 = 3(2 + -3(2c + 8c + -1) + 5c) Reorder the terms: -15 + 11 + 20c = 3(2 + -3(2c + 8c + -1) + 5c) Combine like terms: -15 + 11 = -4 -4 + 20c = 3(2 + -3(2c + 8c + -1) + 5c) Reorder the terms: -4 + 20c = 3(2 + -3(-1 + 2c + 8c) + 5c) Combine like terms: 2c + 8c = 10c -4 + 20c = 3(2 + -3(-1 + 10c) + 5c) -4 + 20c = 3(2 + (-1 * -3 + 10c * -3) + 5c) -4 + 20c = 3(2 + (3 + -30c) + 5c) Combine like terms: 2 + 3 = 5 -4 + 20c = 3(5 + -30c + 5c) Combine like terms: -30c + 5c = -25c -4 + 20c = 3(5 + -25c) -4 + 20c = (5 * 3 + -25c * 3) -4 + 20c = (15 + -75c) Solving -4 + 20c = 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. -4 + 20c + 75c = 15 + -75c + 75c Combine like terms: 20c + 75c = 95c -4 + 95c = 15 + -75c + 75c Combine like terms: -75c + 75c = 0 -4 + 95c = 15 + 0 -4 + 95c = 15 Add '4' to each side of the equation. -4 + 4 + 95c = 15 + 4 Combine like terms: -4 + 4 = 0 0 + 95c = 15 + 4 95c = 15 + 4 Combine like terms: 15 + 4 = 19 95c = 19 Divide each side by '95'. c = 0.2 Simplifying c = 0.2
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