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Simplifying 16(6c + -1) + -12 = 94c + 16 Reorder the terms: 16(-1 + 6c) + -12 = 94c + 16 (-1 * 16 + 6c * 16) + -12 = 94c + 16 (-16 + 96c) + -12 = 94c + 16 Reorder the terms: -16 + -12 + 96c = 94c + 16 Combine like terms: -16 + -12 = -28 -28 + 96c = 94c + 16 Reorder the terms: -28 + 96c = 16 + 94c Solving -28 + 96c = 16 + 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 = 16 + 94c + -94c Combine like terms: 96c + -94c = 2c -28 + 2c = 16 + 94c + -94c Combine like terms: 94c + -94c = 0 -28 + 2c = 16 + 0 -28 + 2c = 16 Add '28' to each side of the equation. -28 + 28 + 2c = 16 + 28 Combine like terms: -28 + 28 = 0 0 + 2c = 16 + 28 2c = 16 + 28 Combine like terms: 16 + 28 = 44 2c = 44 Divide each side by '2'. c = 22 Simplifying c = 22
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