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Simplifying 7(9c + 6) = 20 + 9c Reorder the terms: 7(6 + 9c) = 20 + 9c (6 * 7 + 9c * 7) = 20 + 9c (42 + 63c) = 20 + 9c Solving 42 + 63c = 20 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. 42 + 63c + -9c = 20 + 9c + -9c Combine like terms: 63c + -9c = 54c 42 + 54c = 20 + 9c + -9c Combine like terms: 9c + -9c = 0 42 + 54c = 20 + 0 42 + 54c = 20 Add '-42' to each side of the equation. 42 + -42 + 54c = 20 + -42 Combine like terms: 42 + -42 = 0 0 + 54c = 20 + -42 54c = 20 + -42 Combine like terms: 20 + -42 = -22 54c = -22 Divide each side by '54'. c = -0.4074074074 Simplifying c = -0.4074074074
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