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Simplifying 44 + -1(3c + 4) = 4c + 24 + 1c Reorder the terms: 44 + -1(4 + 3c) = 4c + 24 + 1c 44 + (4 * -1 + 3c * -1) = 4c + 24 + 1c 44 + (-4 + -3c) = 4c + 24 + 1c Combine like terms: 44 + -4 = 40 40 + -3c = 4c + 24 + 1c Reorder the terms: 40 + -3c = 24 + 4c + 1c Combine like terms: 4c + 1c = 5c 40 + -3c = 24 + 5c Solving 40 + -3c = 24 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 40 + -3c + -5c = 24 + 5c + -5c Combine like terms: -3c + -5c = -8c 40 + -8c = 24 + 5c + -5c Combine like terms: 5c + -5c = 0 40 + -8c = 24 + 0 40 + -8c = 24 Add '-40' to each side of the equation. 40 + -40 + -8c = 24 + -40 Combine like terms: 40 + -40 = 0 0 + -8c = 24 + -40 -8c = 24 + -40 Combine like terms: 24 + -40 = -16 -8c = -16 Divide each side by '-8'. c = 2 Simplifying c = 2
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