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Simplifying 4(3 + -1c) = 4(3 + c) (3 * 4 + -1c * 4) = 4(3 + c) (12 + -4c) = 4(3 + c) 12 + -4c = (3 * 4 + c * 4) 12 + -4c = (12 + 4c) Add '-12' to each side of the equation. 12 + -12 + -4c = 12 + -12 + 4c Combine like terms: 12 + -12 = 0 0 + -4c = 12 + -12 + 4c -4c = 12 + -12 + 4c Combine like terms: 12 + -12 = 0 -4c = 0 + 4c -4c = 4c Solving -4c = 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -4c + -4c = 4c + -4c Combine like terms: -4c + -4c = -8c -8c = 4c + -4c Combine like terms: 4c + -4c = 0 -8c = 0 Divide each side by '-8'. c = 0 Simplifying c = 0
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