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Simplifying 2(4c + -2) + -6 = 2c + 2 Reorder the terms: 2(-2 + 4c) + -6 = 2c + 2 (-2 * 2 + 4c * 2) + -6 = 2c + 2 (-4 + 8c) + -6 = 2c + 2 Reorder the terms: -4 + -6 + 8c = 2c + 2 Combine like terms: -4 + -6 = -10 -10 + 8c = 2c + 2 Reorder the terms: -10 + 8c = 2 + 2c Solving -10 + 8c = 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. -10 + 8c + -2c = 2 + 2c + -2c Combine like terms: 8c + -2c = 6c -10 + 6c = 2 + 2c + -2c Combine like terms: 2c + -2c = 0 -10 + 6c = 2 + 0 -10 + 6c = 2 Add '10' to each side of the equation. -10 + 10 + 6c = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 6c = 2 + 10 6c = 2 + 10 Combine like terms: 2 + 10 = 12 6c = 12 Divide each side by '6'. c = 2 Simplifying c = 2
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