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