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Simplifying 4(c + 1) + 2c + 3(c + -1) = 25 Reorder the terms: 4(1 + c) + 2c + 3(c + -1) = 25 (1 * 4 + c * 4) + 2c + 3(c + -1) = 25 (4 + 4c) + 2c + 3(c + -1) = 25 Reorder the terms: 4 + 4c + 2c + 3(-1 + c) = 25 4 + 4c + 2c + (-1 * 3 + c * 3) = 25 4 + 4c + 2c + (-3 + 3c) = 25 Reorder the terms: 4 + -3 + 4c + 2c + 3c = 25 Combine like terms: 4 + -3 = 1 1 + 4c + 2c + 3c = 25 Combine like terms: 4c + 2c = 6c 1 + 6c + 3c = 25 Combine like terms: 6c + 3c = 9c 1 + 9c = 25 Solving 1 + 9c = 25 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 9c = 25 + -1 Combine like terms: 1 + -1 = 0 0 + 9c = 25 + -1 9c = 25 + -1 Combine like terms: 25 + -1 = 24 9c = 24 Divide each side by '9'. c = 2.666666667 Simplifying c = 2.666666667
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