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Simplifying 2(2 + 4c) = 3 + 12c (2 * 2 + 4c * 2) = 3 + 12c (4 + 8c) = 3 + 12c Solving 4 + 8c = 3 + 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. 4 + 8c + -12c = 3 + 12c + -12c Combine like terms: 8c + -12c = -4c 4 + -4c = 3 + 12c + -12c Combine like terms: 12c + -12c = 0 4 + -4c = 3 + 0 4 + -4c = 3 Add '-4' to each side of the equation. 4 + -4 + -4c = 3 + -4 Combine like terms: 4 + -4 = 0 0 + -4c = 3 + -4 -4c = 3 + -4 Combine like terms: 3 + -4 = -1 -4c = -1 Divide each side by '-4'. c = 0.25 Simplifying c = 0.25
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