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Simplifying 2(2c + -5) + 20 = 3c(c + 5) + -3c(c + 7) Reorder the terms: 2(-5 + 2c) + 20 = 3c(c + 5) + -3c(c + 7) (-5 * 2 + 2c * 2) + 20 = 3c(c + 5) + -3c(c + 7) (-10 + 4c) + 20 = 3c(c + 5) + -3c(c + 7) Reorder the terms: -10 + 20 + 4c = 3c(c + 5) + -3c(c + 7) Combine like terms: -10 + 20 = 10 10 + 4c = 3c(c + 5) + -3c(c + 7) Reorder the terms: 10 + 4c = 3c(5 + c) + -3c(c + 7) 10 + 4c = (5 * 3c + c * 3c) + -3c(c + 7) 10 + 4c = (15c + 3c2) + -3c(c + 7) Reorder the terms: 10 + 4c = 15c + 3c2 + -3c(7 + c) 10 + 4c = 15c + 3c2 + (7 * -3c + c * -3c) 10 + 4c = 15c + 3c2 + (-21c + -3c2) Reorder the terms: 10 + 4c = 15c + -21c + 3c2 + -3c2 Combine like terms: 15c + -21c = -6c 10 + 4c = -6c + 3c2 + -3c2 Combine like terms: 3c2 + -3c2 = 0 10 + 4c = -6c + 0 10 + 4c = -6c Solving 10 + 4c = -6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6c' to each side of the equation. 10 + 4c + 6c = -6c + 6c Combine like terms: 4c + 6c = 10c 10 + 10c = -6c + 6c Combine like terms: -6c + 6c = 0 10 + 10c = 0 Add '-10' to each side of the equation. 10 + -10 + 10c = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 10c = 0 + -10 10c = 0 + -10 Combine like terms: 0 + -10 = -10 10c = -10 Divide each side by '10'. c = -1 Simplifying c = -1
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