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Simplifying 7(9c + 6) = 20.5 + 9.5c Reorder the terms: 7(6 + 9c) = 20.5 + 9.5c (6 * 7 + 9c * 7) = 20.5 + 9.5c (42 + 63c) = 20.5 + 9.5c Solving 42 + 63c = 20.5 + 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. 42 + 63c + -9.5c = 20.5 + 9.5c + -9.5c Combine like terms: 63c + -9.5c = 53.5c 42 + 53.5c = 20.5 + 9.5c + -9.5c Combine like terms: 9.5c + -9.5c = 0.0 42 + 53.5c = 20.5 + 0.0 42 + 53.5c = 20.5 Add '-42' to each side of the equation. 42 + -42 + 53.5c = 20.5 + -42 Combine like terms: 42 + -42 = 0 0 + 53.5c = 20.5 + -42 53.5c = 20.5 + -42 Combine like terms: 20.5 + -42 = -21.5 53.5c = -21.5 Divide each side by '53.5'. c = -0.4018691589 Simplifying c = -0.4018691589
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