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Simplifying 11(c + -4) + 5 + 2c = 13 Reorder the terms: 11(-4 + c) + 5 + 2c = 13 (-4 * 11 + c * 11) + 5 + 2c = 13 (-44 + 11c) + 5 + 2c = 13 Reorder the terms: -44 + 5 + 11c + 2c = 13 Combine like terms: -44 + 5 = -39 -39 + 11c + 2c = 13 Combine like terms: 11c + 2c = 13c -39 + 13c = 13 Solving -39 + 13c = 13 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 13c = 13 + 39 Combine like terms: -39 + 39 = 0 0 + 13c = 13 + 39 13c = 13 + 39 Combine like terms: 13 + 39 = 52 13c = 52 Divide each side by '13'. c = 4 Simplifying c = 4
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