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Simplifying c + (c + -1) + 2(c + -1) = 21 Reorder the terms: c + (-1 + c) + 2(c + -1) = 21 Remove parenthesis around (-1 + c) c + -1 + c + 2(c + -1) = 21 Reorder the terms: c + -1 + c + 2(-1 + c) = 21 c + -1 + c + (-1 * 2 + c * 2) = 21 c + -1 + c + (-2 + 2c) = 21 Reorder the terms: -1 + -2 + c + c + 2c = 21 Combine like terms: -1 + -2 = -3 -3 + c + c + 2c = 21 Combine like terms: c + c = 2c -3 + 2c + 2c = 21 Combine like terms: 2c + 2c = 4c -3 + 4c = 21 Solving -3 + 4c = 21 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4c = 21 + 3 Combine like terms: -3 + 3 = 0 0 + 4c = 21 + 3 4c = 21 + 3 Combine like terms: 21 + 3 = 24 4c = 24 Divide each side by '4'. c = 6 Simplifying c = 6
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