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Simplifying 4c + 2(3c + 4) = 6c + 44 Reorder the terms: 4c + 2(4 + 3c) = 6c + 44 4c + (4 * 2 + 3c * 2) = 6c + 44 4c + (8 + 6c) = 6c + 44 Reorder the terms: 8 + 4c + 6c = 6c + 44 Combine like terms: 4c + 6c = 10c 8 + 10c = 6c + 44 Reorder the terms: 8 + 10c = 44 + 6c Solving 8 + 10c = 44 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 8 + 10c + -6c = 44 + 6c + -6c Combine like terms: 10c + -6c = 4c 8 + 4c = 44 + 6c + -6c Combine like terms: 6c + -6c = 0 8 + 4c = 44 + 0 8 + 4c = 44 Add '-8' to each side of the equation. 8 + -8 + 4c = 44 + -8 Combine like terms: 8 + -8 = 0 0 + 4c = 44 + -8 4c = 44 + -8 Combine like terms: 44 + -8 = 36 4c = 36 Divide each side by '4'. c = 9 Simplifying c = 9
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