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Simplifying 39 = 3(5c + -11) + -10c + 22 Reorder the terms: 39 = 3(-11 + 5c) + -10c + 22 39 = (-11 * 3 + 5c * 3) + -10c + 22 39 = (-33 + 15c) + -10c + 22 Reorder the terms: 39 = -33 + 22 + 15c + -10c Combine like terms: -33 + 22 = -11 39 = -11 + 15c + -10c Combine like terms: 15c + -10c = 5c 39 = -11 + 5c Solving 39 = -11 + 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. 39 + -5c = -11 + 5c + -5c Combine like terms: 5c + -5c = 0 39 + -5c = -11 + 0 39 + -5c = -11 Add '-39' to each side of the equation. 39 + -39 + -5c = -11 + -39 Combine like terms: 39 + -39 = 0 0 + -5c = -11 + -39 -5c = -11 + -39 Combine like terms: -11 + -39 = -50 -5c = -50 Divide each side by '-5'. c = 10 Simplifying c = 10
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