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Simplifying 3(6c + -1) + -2 = 16c + 3 Reorder the terms: 3(-1 + 6c) + -2 = 16c + 3 (-1 * 3 + 6c * 3) + -2 = 16c + 3 (-3 + 18c) + -2 = 16c + 3 Reorder the terms: -3 + -2 + 18c = 16c + 3 Combine like terms: -3 + -2 = -5 -5 + 18c = 16c + 3 Reorder the terms: -5 + 18c = 3 + 16c Solving -5 + 18c = 3 + 16c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-16c' to each side of the equation. -5 + 18c + -16c = 3 + 16c + -16c Combine like terms: 18c + -16c = 2c -5 + 2c = 3 + 16c + -16c Combine like terms: 16c + -16c = 0 -5 + 2c = 3 + 0 -5 + 2c = 3 Add '5' to each side of the equation. -5 + 5 + 2c = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 2c = 3 + 5 2c = 3 + 5 Combine like terms: 3 + 5 = 8 2c = 8 Divide each side by '2'. c = 4 Simplifying c = 4
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