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Simplifying 12(4c + -1) + -8 = 46c + 12 Reorder the terms: 12(-1 + 4c) + -8 = 46c + 12 (-1 * 12 + 4c * 12) + -8 = 46c + 12 (-12 + 48c) + -8 = 46c + 12 Reorder the terms: -12 + -8 + 48c = 46c + 12 Combine like terms: -12 + -8 = -20 -20 + 48c = 46c + 12 Reorder the terms: -20 + 48c = 12 + 46c Solving -20 + 48c = 12 + 46c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-46c' to each side of the equation. -20 + 48c + -46c = 12 + 46c + -46c Combine like terms: 48c + -46c = 2c -20 + 2c = 12 + 46c + -46c Combine like terms: 46c + -46c = 0 -20 + 2c = 12 + 0 -20 + 2c = 12 Add '20' to each side of the equation. -20 + 20 + 2c = 12 + 20 Combine like terms: -20 + 20 = 0 0 + 2c = 12 + 20 2c = 12 + 20 Combine like terms: 12 + 20 = 32 2c = 32 Divide each side by '2'. c = 16 Simplifying c = 16
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