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Simplifying 4c + -3(c + -8) = 4 + 2c Reorder the terms: 4c + -3(-8 + c) = 4 + 2c 4c + (-8 * -3 + c * -3) = 4 + 2c 4c + (24 + -3c) = 4 + 2c Reorder the terms: 24 + 4c + -3c = 4 + 2c Combine like terms: 4c + -3c = 1c 24 + 1c = 4 + 2c Solving 24 + 1c = 4 + 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. 24 + 1c + -2c = 4 + 2c + -2c Combine like terms: 1c + -2c = -1c 24 + -1c = 4 + 2c + -2c Combine like terms: 2c + -2c = 0 24 + -1c = 4 + 0 24 + -1c = 4 Add '-24' to each side of the equation. 24 + -24 + -1c = 4 + -24 Combine like terms: 24 + -24 = 0 0 + -1c = 4 + -24 -1c = 4 + -24 Combine like terms: 4 + -24 = -20 -1c = -20 Divide each side by '-1'. c = 20 Simplifying c = 20
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