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Simplifying 12(4c + -8) = 5c + -2 Reorder the terms: 12(-8 + 4c) = 5c + -2 (-8 * 12 + 4c * 12) = 5c + -2 (-96 + 48c) = 5c + -2 Reorder the terms: -96 + 48c = -2 + 5c Solving -96 + 48c = -2 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -96 + 48c + -5c = -2 + 5c + -5c Combine like terms: 48c + -5c = 43c -96 + 43c = -2 + 5c + -5c Combine like terms: 5c + -5c = 0 -96 + 43c = -2 + 0 -96 + 43c = -2 Add '96' to each side of the equation. -96 + 96 + 43c = -2 + 96 Combine like terms: -96 + 96 = 0 0 + 43c = -2 + 96 43c = -2 + 96 Combine like terms: -2 + 96 = 94 43c = 94 Divide each side by '43'. c = 2.186046512 Simplifying c = 2.186046512
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