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Simplifying 12(2c + -8) = 8c + -6 Reorder the terms: 12(-8 + 2c) = 8c + -6 (-8 * 12 + 2c * 12) = 8c + -6 (-96 + 24c) = 8c + -6 Reorder the terms: -96 + 24c = -6 + 8c Solving -96 + 24c = -6 + 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. -96 + 24c + -8c = -6 + 8c + -8c Combine like terms: 24c + -8c = 16c -96 + 16c = -6 + 8c + -8c Combine like terms: 8c + -8c = 0 -96 + 16c = -6 + 0 -96 + 16c = -6 Add '96' to each side of the equation. -96 + 96 + 16c = -6 + 96 Combine like terms: -96 + 96 = 0 0 + 16c = -6 + 96 16c = -6 + 96 Combine like terms: -6 + 96 = 90 16c = 90 Divide each side by '16'. c = 5.625 Simplifying c = 5.625
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