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Simplifying 4(3 + c) + c = c + 44 (3 * 4 + c * 4) + c = c + 44 (12 + 4c) + c = c + 44 Combine like terms: 4c + c = 5c 12 + 5c = c + 44 Reorder the terms: 12 + 5c = 44 + c Solving 12 + 5c = 44 + 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 + 5c + -1c = 44 + c + -1c Combine like terms: 5c + -1c = 4c 12 + 4c = 44 + c + -1c Combine like terms: c + -1c = 0 12 + 4c = 44 + 0 12 + 4c = 44 Add '-12' to each side of the equation. 12 + -12 + 4c = 44 + -12 Combine like terms: 12 + -12 = 0 0 + 4c = 44 + -12 4c = 44 + -12 Combine like terms: 44 + -12 = 32 4c = 32 Divide each side by '4'. c = 8 Simplifying c = 8
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