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Simplifying 4c + -3(c + -9) = 3 + 2c Reorder the terms: 4c + -3(-9 + c) = 3 + 2c 4c + (-9 * -3 + c * -3) = 3 + 2c 4c + (27 + -3c) = 3 + 2c Reorder the terms: 27 + 4c + -3c = 3 + 2c Combine like terms: 4c + -3c = 1c 27 + 1c = 3 + 2c Solving 27 + 1c = 3 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 27 + 1c + -2c = 3 + 2c + -2c Combine like terms: 1c + -2c = -1c 27 + -1c = 3 + 2c + -2c Combine like terms: 2c + -2c = 0 27 + -1c = 3 + 0 27 + -1c = 3 Add '-27' to each side of the equation. 27 + -27 + -1c = 3 + -27 Combine like terms: 27 + -27 = 0 0 + -1c = 3 + -27 -1c = 3 + -27 Combine like terms: 3 + -27 = -24 -1c = -24 Divide each side by '-1'. c = 24 Simplifying c = 24
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