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Simplifying 6(2c + 4) = -3c + -21 Reorder the terms: 6(4 + 2c) = -3c + -21 (4 * 6 + 2c * 6) = -3c + -21 (24 + 12c) = -3c + -21 Reorder the terms: 24 + 12c = -21 + -3c Solving 24 + 12c = -21 + -3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3c' to each side of the equation. 24 + 12c + 3c = -21 + -3c + 3c Combine like terms: 12c + 3c = 15c 24 + 15c = -21 + -3c + 3c Combine like terms: -3c + 3c = 0 24 + 15c = -21 + 0 24 + 15c = -21 Add '-24' to each side of the equation. 24 + -24 + 15c = -21 + -24 Combine like terms: 24 + -24 = 0 0 + 15c = -21 + -24 15c = -21 + -24 Combine like terms: -21 + -24 = -45 15c = -45 Divide each side by '15'. c = -3 Simplifying c = -3
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