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Simplifying 6c = 2(3c + -4) + 2c Reorder the terms: 6c = 2(-4 + 3c) + 2c 6c = (-4 * 2 + 3c * 2) + 2c 6c = (-8 + 6c) + 2c Combine like terms: 6c + 2c = 8c 6c = -8 + 8c Solving 6c = -8 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 6c + -8c = -8 + 8c + -8c Combine like terms: 6c + -8c = -2c -2c = -8 + 8c + -8c Combine like terms: 8c + -8c = 0 -2c = -8 + 0 -2c = -8 Divide each side by '-2'. c = 4 Simplifying c = 4
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