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Simplifying 12(8c + -1) + -16 = 94c + 12 Reorder the terms: 12(-1 + 8c) + -16 = 94c + 12 (-1 * 12 + 8c * 12) + -16 = 94c + 12 (-12 + 96c) + -16 = 94c + 12 Reorder the terms: -12 + -16 + 96c = 94c + 12 Combine like terms: -12 + -16 = -28 -28 + 96c = 94c + 12 Reorder the terms: -28 + 96c = 12 + 94c Solving -28 + 96c = 12 + 94c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-94c' to each side of the equation. -28 + 96c + -94c = 12 + 94c + -94c Combine like terms: 96c + -94c = 2c -28 + 2c = 12 + 94c + -94c Combine like terms: 94c + -94c = 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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