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Simplifying 4(3 + 4c) + c = c + 4 (3 * 4 + 4c * 4) + c = c + 4 (12 + 16c) + c = c + 4 Combine like terms: 16c + c = 17c 12 + 17c = c + 4 Reorder the terms: 12 + 17c = 4 + c Solving 12 + 17c = 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 + 17c + -1c = 4 + c + -1c Combine like terms: 17c + -1c = 16c 12 + 16c = 4 + c + -1c Combine like terms: c + -1c = 0 12 + 16c = 4 + 0 12 + 16c = 4 Add '-12' to each side of the equation. 12 + -12 + 16c = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 16c = 4 + -12 16c = 4 + -12 Combine like terms: 4 + -12 = -8 16c = -8 Divide each side by '16'. c = -0.5 Simplifying c = -0.5
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