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Simplifying -79.8c + 9(-16.1c + 16.27) = 3(-74.7c + -0.51) Reorder the terms: -79.8c + 9(16.27 + -16.1c) = 3(-74.7c + -0.51) -79.8c + (16.27 * 9 + -16.1c * 9) = 3(-74.7c + -0.51) -79.8c + (146.43 + -144.9c) = 3(-74.7c + -0.51) Reorder the terms: 146.43 + -79.8c + -144.9c = 3(-74.7c + -0.51) Combine like terms: -79.8c + -144.9c = -224.7c 146.43 + -224.7c = 3(-74.7c + -0.51) Reorder the terms: 146.43 + -224.7c = 3(-0.51 + -74.7c) 146.43 + -224.7c = (-0.51 * 3 + -74.7c * 3) 146.43 + -224.7c = (-1.53 + -224.1c) Solving 146.43 + -224.7c = -1.53 + -224.1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '224.1c' to each side of the equation. 146.43 + -224.7c + 224.1c = -1.53 + -224.1c + 224.1c Combine like terms: -224.7c + 224.1c = -0.6c 146.43 + -0.6c = -1.53 + -224.1c + 224.1c Combine like terms: -224.1c + 224.1c = 0.0 146.43 + -0.6c = -1.53 + 0.0 146.43 + -0.6c = -1.53 Add '-146.43' to each side of the equation. 146.43 + -146.43 + -0.6c = -1.53 + -146.43 Combine like terms: 146.43 + -146.43 = 0.00 0.00 + -0.6c = -1.53 + -146.43 -0.6c = -1.53 + -146.43 Combine like terms: -1.53 + -146.43 = -147.96 -0.6c = -147.96 Divide each side by '-0.6'. c = 246.6 Simplifying c = 246.6
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