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Simplifying 2(4c + -2) + -2 = 6c + 2 Reorder the terms: 2(-2 + 4c) + -2 = 6c + 2 (-2 * 2 + 4c * 2) + -2 = 6c + 2 (-4 + 8c) + -2 = 6c + 2 Reorder the terms: -4 + -2 + 8c = 6c + 2 Combine like terms: -4 + -2 = -6 -6 + 8c = 6c + 2 Reorder the terms: -6 + 8c = 2 + 6c Solving -6 + 8c = 2 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -6 + 8c + -6c = 2 + 6c + -6c Combine like terms: 8c + -6c = 2c -6 + 2c = 2 + 6c + -6c Combine like terms: 6c + -6c = 0 -6 + 2c = 2 + 0 -6 + 2c = 2 Add '6' to each side of the equation. -6 + 6 + 2c = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 2c = 2 + 6 2c = 2 + 6 Combine like terms: 2 + 6 = 8 2c = 8 Divide each side by '2'. c = 4 Simplifying c = 4
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