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Simplifying 2(9c + -1) + -4 = 16c + 2 Reorder the terms: 2(-1 + 9c) + -4 = 16c + 2 (-1 * 2 + 9c * 2) + -4 = 16c + 2 (-2 + 18c) + -4 = 16c + 2 Reorder the terms: -2 + -4 + 18c = 16c + 2 Combine like terms: -2 + -4 = -6 -6 + 18c = 16c + 2 Reorder the terms: -6 + 18c = 2 + 16c Solving -6 + 18c = 2 + 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. -6 + 18c + -16c = 2 + 16c + -16c Combine like terms: 18c + -16c = 2c -6 + 2c = 2 + 16c + -16c Combine like terms: 16c + -16c = 0 -6 + 2c = 2 + 0 -6 + 2c = 2 Add '6' to each side of the equation. -6 + 6 + 2c = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 2c = 2 + 6 2c = 2 + 6 Combine like terms: 2 + 6 = 8 2c = 8 Divide each side by '2'. c = 4 Simplifying c = 4
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