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Simplifying 20 = 8 + 3(12 + 4c) 20 = 8 + (12 * 3 + 4c * 3) 20 = 8 + (36 + 12c) Combine like terms: 8 + 36 = 44 20 = 44 + 12c Solving 20 = 44 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. 20 + -12c = 44 + 12c + -12c Combine like terms: 12c + -12c = 0 20 + -12c = 44 + 0 20 + -12c = 44 Add '-20' to each side of the equation. 20 + -20 + -12c = 44 + -20 Combine like terms: 20 + -20 = 0 0 + -12c = 44 + -20 -12c = 44 + -20 Combine like terms: 44 + -20 = 24 -12c = 24 Divide each side by '-12'. c = -2 Simplifying c = -2
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