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Simplifying 5(5c + -1) + -1 = 23c + 8 Reorder the terms: 5(-1 + 5c) + -1 = 23c + 8 (-1 * 5 + 5c * 5) + -1 = 23c + 8 (-5 + 25c) + -1 = 23c + 8 Reorder the terms: -5 + -1 + 25c = 23c + 8 Combine like terms: -5 + -1 = -6 -6 + 25c = 23c + 8 Reorder the terms: -6 + 25c = 8 + 23c Solving -6 + 25c = 8 + 23c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-23c' to each side of the equation. -6 + 25c + -23c = 8 + 23c + -23c Combine like terms: 25c + -23c = 2c -6 + 2c = 8 + 23c + -23c Combine like terms: 23c + -23c = 0 -6 + 2c = 8 + 0 -6 + 2c = 8 Add '6' to each side of the equation. -6 + 6 + 2c = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 2c = 8 + 6 2c = 8 + 6 Combine like terms: 8 + 6 = 14 2c = 14 Divide each side by '2'. c = 7 Simplifying c = 7
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