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Simplifying 9c + -1(6 + -5c) = c + -2(3c + 9) 9c + (6 * -1 + -5c * -1) = c + -2(3c + 9) 9c + (-6 + 5c) = c + -2(3c + 9) Reorder the terms: -6 + 9c + 5c = c + -2(3c + 9) Combine like terms: 9c + 5c = 14c -6 + 14c = c + -2(3c + 9) Reorder the terms: -6 + 14c = c + -2(9 + 3c) -6 + 14c = c + (9 * -2 + 3c * -2) -6 + 14c = c + (-18 + -6c) Reorder the terms: -6 + 14c = -18 + c + -6c Combine like terms: c + -6c = -5c -6 + 14c = -18 + -5c Solving -6 + 14c = -18 + -5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5c' to each side of the equation. -6 + 14c + 5c = -18 + -5c + 5c Combine like terms: 14c + 5c = 19c -6 + 19c = -18 + -5c + 5c Combine like terms: -5c + 5c = 0 -6 + 19c = -18 + 0 -6 + 19c = -18 Add '6' to each side of the equation. -6 + 6 + 19c = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 19c = -18 + 6 19c = -18 + 6 Combine like terms: -18 + 6 = -12 19c = -12 Divide each side by '19'. c = -0.6315789474 Simplifying c = -0.6315789474
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