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Simplifying c(c + 8) + -1c(c + 3) + -23 = 3c + 11 Reorder the terms: c(8 + c) + -1c(c + 3) + -23 = 3c + 11 (8 * c + c * c) + -1c(c + 3) + -23 = 3c + 11 (8c + c2) + -1c(c + 3) + -23 = 3c + 11 Reorder the terms: 8c + c2 + -1c(3 + c) + -23 = 3c + 11 8c + c2 + (3 * -1c + c * -1c) + -23 = 3c + 11 8c + c2 + (-3c + -1c2) + -23 = 3c + 11 Reorder the terms: -23 + 8c + -3c + c2 + -1c2 = 3c + 11 Combine like terms: 8c + -3c = 5c -23 + 5c + c2 + -1c2 = 3c + 11 Combine like terms: c2 + -1c2 = 0 -23 + 5c + 0 = 3c + 11 -23 + 5c = 3c + 11 Reorder the terms: -23 + 5c = 11 + 3c Solving -23 + 5c = 11 + 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. -23 + 5c + -3c = 11 + 3c + -3c Combine like terms: 5c + -3c = 2c -23 + 2c = 11 + 3c + -3c Combine like terms: 3c + -3c = 0 -23 + 2c = 11 + 0 -23 + 2c = 11 Add '23' to each side of the equation. -23 + 23 + 2c = 11 + 23 Combine like terms: -23 + 23 = 0 0 + 2c = 11 + 23 2c = 11 + 23 Combine like terms: 11 + 23 = 34 2c = 34 Divide each side by '2'. c = 17 Simplifying c = 17
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