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Simplifying 3(9c + -1) + -16 = 25c + 3 Reorder the terms: 3(-1 + 9c) + -16 = 25c + 3 (-1 * 3 + 9c * 3) + -16 = 25c + 3 (-3 + 27c) + -16 = 25c + 3 Reorder the terms: -3 + -16 + 27c = 25c + 3 Combine like terms: -3 + -16 = -19 -19 + 27c = 25c + 3 Reorder the terms: -19 + 27c = 3 + 25c Solving -19 + 27c = 3 + 25c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-25c' to each side of the equation. -19 + 27c + -25c = 3 + 25c + -25c Combine like terms: 27c + -25c = 2c -19 + 2c = 3 + 25c + -25c Combine like terms: 25c + -25c = 0 -19 + 2c = 3 + 0 -19 + 2c = 3 Add '19' to each side of the equation. -19 + 19 + 2c = 3 + 19 Combine like terms: -19 + 19 = 0 0 + 2c = 3 + 19 2c = 3 + 19 Combine like terms: 3 + 19 = 22 2c = 22 Divide each side by '2'. c = 11 Simplifying c = 11
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