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Simplifying -4c + 9 = 8c + -27 Reorder the terms: 9 + -4c = 8c + -27 Reorder the terms: 9 + -4c = -27 + 8c Solving 9 + -4c = -27 + 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. 9 + -4c + -8c = -27 + 8c + -8c Combine like terms: -4c + -8c = -12c 9 + -12c = -27 + 8c + -8c Combine like terms: 8c + -8c = 0 9 + -12c = -27 + 0 9 + -12c = -27 Add '-9' to each side of the equation. 9 + -9 + -12c = -27 + -9 Combine like terms: 9 + -9 = 0 0 + -12c = -27 + -9 -12c = -27 + -9 Combine like terms: -27 + -9 = -36 -12c = -36 Divide each side by '-12'. c = 3 Simplifying c = 3
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