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Simplifying 3(c + 7) + -4c = 24 + 2c Reorder the terms: 3(7 + c) + -4c = 24 + 2c (7 * 3 + c * 3) + -4c = 24 + 2c (21 + 3c) + -4c = 24 + 2c Combine like terms: 3c + -4c = -1c 21 + -1c = 24 + 2c Solving 21 + -1c = 24 + 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. 21 + -1c + -2c = 24 + 2c + -2c Combine like terms: -1c + -2c = -3c 21 + -3c = 24 + 2c + -2c Combine like terms: 2c + -2c = 0 21 + -3c = 24 + 0 21 + -3c = 24 Add '-21' to each side of the equation. 21 + -21 + -3c = 24 + -21 Combine like terms: 21 + -21 = 0 0 + -3c = 24 + -21 -3c = 24 + -21 Combine like terms: 24 + -21 = 3 -3c = 3 Divide each side by '-3'. c = -1 Simplifying c = -1
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