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Simplifying 4(3 + -1c) + c = c + 4 (3 * 4 + -1c * 4) + c = c + 4 (12 + -4c) + c = c + 4 Combine like terms: -4c + c = -3c 12 + -3c = c + 4 Reorder the terms: 12 + -3c = 4 + c Solving 12 + -3c = 4 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 12 + -3c + -1c = 4 + c + -1c Combine like terms: -3c + -1c = -4c 12 + -4c = 4 + c + -1c Combine like terms: c + -1c = 0 12 + -4c = 4 + 0 12 + -4c = 4 Add '-12' to each side of the equation. 12 + -12 + -4c = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -4c = 4 + -12 -4c = 4 + -12 Combine like terms: 4 + -12 = -8 -4c = -8 Divide each side by '-4'. c = 2 Simplifying c = 2
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