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Simplifying 12(4c + -1) + -16 = 46c + 12 Reorder the terms: 12(-1 + 4c) + -16 = 46c + 12 (-1 * 12 + 4c * 12) + -16 = 46c + 12 (-12 + 48c) + -16 = 46c + 12 Reorder the terms: -12 + -16 + 48c = 46c + 12 Combine like terms: -12 + -16 = -28 -28 + 48c = 46c + 12 Reorder the terms: -28 + 48c = 12 + 46c Solving -28 + 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. -28 + 48c + -46c = 12 + 46c + -46c Combine like terms: 48c + -46c = 2c -28 + 2c = 12 + 46c + -46c Combine like terms: 46c + -46c = 0 -28 + 2c = 12 + 0 -28 + 2c = 12 Add '28' to each side of the equation. -28 + 28 + 2c = 12 + 28 Combine like terms: -28 + 28 = 0 0 + 2c = 12 + 28 2c = 12 + 28 Combine like terms: 12 + 28 = 40 2c = 40 Divide each side by '2'. c = 20 Simplifying c = 20
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