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Simplifying 27.5 + -7.5c = 8(5c + 6) Reorder the terms: 27.5 + -7.5c = 8(6 + 5c) 27.5 + -7.5c = (6 * 8 + 5c * 8) 27.5 + -7.5c = (48 + 40c) Solving 27.5 + -7.5c = 48 + 40c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-40c' to each side of the equation. 27.5 + -7.5c + -40c = 48 + 40c + -40c Combine like terms: -7.5c + -40c = -47.5c 27.5 + -47.5c = 48 + 40c + -40c Combine like terms: 40c + -40c = 0 27.5 + -47.5c = 48 + 0 27.5 + -47.5c = 48 Add '-27.5' to each side of the equation. 27.5 + -27.5 + -47.5c = 48 + -27.5 Combine like terms: 27.5 + -27.5 = 0.0 0.0 + -47.5c = 48 + -27.5 -47.5c = 48 + -27.5 Combine like terms: 48 + -27.5 = 20.5 -47.5c = 20.5 Divide each side by '-47.5'. c = -0.4315789474 Simplifying c = -0.4315789474
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