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Simplifying 16(6c + -1) + -18 = 94c + 16 Reorder the terms: 16(-1 + 6c) + -18 = 94c + 16 (-1 * 16 + 6c * 16) + -18 = 94c + 16 (-16 + 96c) + -18 = 94c + 16 Reorder the terms: -16 + -18 + 96c = 94c + 16 Combine like terms: -16 + -18 = -34 -34 + 96c = 94c + 16 Reorder the terms: -34 + 96c = 16 + 94c Solving -34 + 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. -34 + 96c + -94c = 16 + 94c + -94c Combine like terms: 96c + -94c = 2c -34 + 2c = 16 + 94c + -94c Combine like terms: 94c + -94c = 0 -34 + 2c = 16 + 0 -34 + 2c = 16 Add '34' to each side of the equation. -34 + 34 + 2c = 16 + 34 Combine like terms: -34 + 34 = 0 0 + 2c = 16 + 34 2c = 16 + 34 Combine like terms: 16 + 34 = 50 2c = 50 Divide each side by '2'. c = 25 Simplifying c = 25
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