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Simplifying 18.45 + -16.8c + 14.38 = 9.5c + -19.77 Reorder the terms: 18.45 + 14.38 + -16.8c = 9.5c + -19.77 Combine like terms: 18.45 + 14.38 = 32.83 32.83 + -16.8c = 9.5c + -19.77 Reorder the terms: 32.83 + -16.8c = -19.77 + 9.5c Solving 32.83 + -16.8c = -19.77 + 9.5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9.5c' to each side of the equation. 32.83 + -16.8c + -9.5c = -19.77 + 9.5c + -9.5c Combine like terms: -16.8c + -9.5c = -26.3c 32.83 + -26.3c = -19.77 + 9.5c + -9.5c Combine like terms: 9.5c + -9.5c = 0.0 32.83 + -26.3c = -19.77 + 0.0 32.83 + -26.3c = -19.77 Add '-32.83' to each side of the equation. 32.83 + -32.83 + -26.3c = -19.77 + -32.83 Combine like terms: 32.83 + -32.83 = 0.00 0.00 + -26.3c = -19.77 + -32.83 -26.3c = -19.77 + -32.83 Combine like terms: -19.77 + -32.83 = -52.6 -26.3c = -52.6 Divide each side by '-26.3'. c = 2 Simplifying c = 2
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