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Simplifying 2(9c + -1) + -10 = 16c + 2 Reorder the terms: 2(-1 + 9c) + -10 = 16c + 2 (-1 * 2 + 9c * 2) + -10 = 16c + 2 (-2 + 18c) + -10 = 16c + 2 Reorder the terms: -2 + -10 + 18c = 16c + 2 Combine like terms: -2 + -10 = -12 -12 + 18c = 16c + 2 Reorder the terms: -12 + 18c = 2 + 16c Solving -12 + 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. -12 + 18c + -16c = 2 + 16c + -16c Combine like terms: 18c + -16c = 2c -12 + 2c = 2 + 16c + -16c Combine like terms: 16c + -16c = 0 -12 + 2c = 2 + 0 -12 + 2c = 2 Add '12' to each side of the equation. -12 + 12 + 2c = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 2c = 2 + 12 2c = 2 + 12 Combine like terms: 2 + 12 = 14 2c = 14 Divide each side by '2'. c = 7 Simplifying c = 7
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