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