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Simplifying 12c + 9 = 8c + 1 + -1(2c + -11) Reorder the terms: 9 + 12c = 8c + 1 + -1(2c + -11) Reorder the terms: 9 + 12c = 8c + 1 + -1(-11 + 2c) 9 + 12c = 8c + 1 + (-11 * -1 + 2c * -1) 9 + 12c = 8c + 1 + (11 + -2c) Reorder the terms: 9 + 12c = 1 + 11 + 8c + -2c Combine like terms: 1 + 11 = 12 9 + 12c = 12 + 8c + -2c Combine like terms: 8c + -2c = 6c 9 + 12c = 12 + 6c Solving 9 + 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. 9 + 12c + -6c = 12 + 6c + -6c Combine like terms: 12c + -6c = 6c 9 + 6c = 12 + 6c + -6c Combine like terms: 6c + -6c = 0 9 + 6c = 12 + 0 9 + 6c = 12 Add '-9' to each side of the equation. 9 + -9 + 6c = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 6c = 12 + -9 6c = 12 + -9 Combine like terms: 12 + -9 = 3 6c = 3 Divide each side by '6'. c = 0.5 Simplifying c = 0.5
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