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Simplifying 5(5c + -1) + -4 = 23c + 3 Reorder the terms: 5(-1 + 5c) + -4 = 23c + 3 (-1 * 5 + 5c * 5) + -4 = 23c + 3 (-5 + 25c) + -4 = 23c + 3 Reorder the terms: -5 + -4 + 25c = 23c + 3 Combine like terms: -5 + -4 = -9 -9 + 25c = 23c + 3 Reorder the terms: -9 + 25c = 3 + 23c Solving -9 + 25c = 3 + 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. -9 + 25c + -23c = 3 + 23c + -23c Combine like terms: 25c + -23c = 2c -9 + 2c = 3 + 23c + -23c Combine like terms: 23c + -23c = 0 -9 + 2c = 3 + 0 -9 + 2c = 3 Add '9' to each side of the equation. -9 + 9 + 2c = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 2c = 3 + 9 2c = 3 + 9 Combine like terms: 3 + 9 = 12 2c = 12 Divide each side by '2'. c = 6 Simplifying c = 6
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