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Simplifying 12(3c + -5) = 8c + -6 Reorder the terms: 12(-5 + 3c) = 8c + -6 (-5 * 12 + 3c * 12) = 8c + -6 (-60 + 36c) = 8c + -6 Reorder the terms: -60 + 36c = -6 + 8c Solving -60 + 36c = -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. -60 + 36c + -8c = -6 + 8c + -8c Combine like terms: 36c + -8c = 28c -60 + 28c = -6 + 8c + -8c Combine like terms: 8c + -8c = 0 -60 + 28c = -6 + 0 -60 + 28c = -6 Add '60' to each side of the equation. -60 + 60 + 28c = -6 + 60 Combine like terms: -60 + 60 = 0 0 + 28c = -6 + 60 28c = -6 + 60 Combine like terms: -6 + 60 = 54 28c = 54 Divide each side by '28'. c = 1.928571429 Simplifying c = 1.928571429
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