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Simplifying 12c + -2(c + 1) = 8c + 22 Reorder the terms: 12c + -2(1 + c) = 8c + 22 12c + (1 * -2 + c * -2) = 8c + 22 12c + (-2 + -2c) = 8c + 22 Reorder the terms: -2 + 12c + -2c = 8c + 22 Combine like terms: 12c + -2c = 10c -2 + 10c = 8c + 22 Reorder the terms: -2 + 10c = 22 + 8c Solving -2 + 10c = 22 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -2 + 10c + -8c = 22 + 8c + -8c Combine like terms: 10c + -8c = 2c -2 + 2c = 22 + 8c + -8c Combine like terms: 8c + -8c = 0 -2 + 2c = 22 + 0 -2 + 2c = 22 Add '2' to each side of the equation. -2 + 2 + 2c = 22 + 2 Combine like terms: -2 + 2 = 0 0 + 2c = 22 + 2 2c = 22 + 2 Combine like terms: 22 + 2 = 24 2c = 24 Divide each side by '2'. c = 12 Simplifying c = 12
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