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Simplifying 2(2c + -2) + -4 = 2c + 2 Reorder the terms: 2(-2 + 2c) + -4 = 2c + 2 (-2 * 2 + 2c * 2) + -4 = 2c + 2 (-4 + 4c) + -4 = 2c + 2 Reorder the terms: -4 + -4 + 4c = 2c + 2 Combine like terms: -4 + -4 = -8 -8 + 4c = 2c + 2 Reorder the terms: -8 + 4c = 2 + 2c Solving -8 + 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. -8 + 4c + -2c = 2 + 2c + -2c Combine like terms: 4c + -2c = 2c -8 + 2c = 2 + 2c + -2c Combine like terms: 2c + -2c = 0 -8 + 2c = 2 + 0 -8 + 2c = 2 Add '8' to each side of the equation. -8 + 8 + 2c = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 2c = 2 + 8 2c = 2 + 8 Combine like terms: 2 + 8 = 10 2c = 10 Divide each side by '2'. c = 5 Simplifying c = 5
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