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Simplifying 12c + 27 = 24c + 3 + -1(6c + -33) Reorder the terms: 27 + 12c = 24c + 3 + -1(6c + -33) Reorder the terms: 27 + 12c = 24c + 3 + -1(-33 + 6c) 27 + 12c = 24c + 3 + (-33 * -1 + 6c * -1) 27 + 12c = 24c + 3 + (33 + -6c) Reorder the terms: 27 + 12c = 3 + 33 + 24c + -6c Combine like terms: 3 + 33 = 36 27 + 12c = 36 + 24c + -6c Combine like terms: 24c + -6c = 18c 27 + 12c = 36 + 18c Solving 27 + 12c = 36 + 18c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-18c' to each side of the equation. 27 + 12c + -18c = 36 + 18c + -18c Combine like terms: 12c + -18c = -6c 27 + -6c = 36 + 18c + -18c Combine like terms: 18c + -18c = 0 27 + -6c = 36 + 0 27 + -6c = 36 Add '-27' to each side of the equation. 27 + -27 + -6c = 36 + -27 Combine like terms: 27 + -27 = 0 0 + -6c = 36 + -27 -6c = 36 + -27 Combine like terms: 36 + -27 = 9 -6c = 9 Divide each side by '-6'. c = -1.5 Simplifying c = -1.5
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