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Simplifying 12c + 27 = 8c + 1 + -1(2c + -11) Reorder the terms: 27 + 12c = 8c + 1 + -1(2c + -11) Reorder the terms: 27 + 12c = 8c + 1 + -1(-11 + 2c) 27 + 12c = 8c + 1 + (-11 * -1 + 2c * -1) 27 + 12c = 8c + 1 + (11 + -2c) Reorder the terms: 27 + 12c = 1 + 11 + 8c + -2c Combine like terms: 1 + 11 = 12 27 + 12c = 12 + 8c + -2c Combine like terms: 8c + -2c = 6c 27 + 12c = 12 + 6c Solving 27 + 12c = 12 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 27 + 12c + -6c = 12 + 6c + -6c Combine like terms: 12c + -6c = 6c 27 + 6c = 12 + 6c + -6c Combine like terms: 6c + -6c = 0 27 + 6c = 12 + 0 27 + 6c = 12 Add '-27' to each side of the equation. 27 + -27 + 6c = 12 + -27 Combine like terms: 27 + -27 = 0 0 + 6c = 12 + -27 6c = 12 + -27 Combine like terms: 12 + -27 = -15 6c = -15 Divide each side by '6'. c = -2.5 Simplifying c = -2.5
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