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Simplifying 5(5c + -1) + -10 = 23c + 5 Reorder the terms: 5(-1 + 5c) + -10 = 23c + 5 (-1 * 5 + 5c * 5) + -10 = 23c + 5 (-5 + 25c) + -10 = 23c + 5 Reorder the terms: -5 + -10 + 25c = 23c + 5 Combine like terms: -5 + -10 = -15 -15 + 25c = 23c + 5 Reorder the terms: -15 + 25c = 5 + 23c Solving -15 + 25c = 5 + 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. -15 + 25c + -23c = 5 + 23c + -23c Combine like terms: 25c + -23c = 2c -15 + 2c = 5 + 23c + -23c Combine like terms: 23c + -23c = 0 -15 + 2c = 5 + 0 -15 + 2c = 5 Add '15' to each side of the equation. -15 + 15 + 2c = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 2c = 5 + 15 2c = 5 + 15 Combine like terms: 5 + 15 = 20 2c = 20 Divide each side by '2'. c = 10 Simplifying c = 10
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