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Simplifying c + 2(4 + -5c) = -55 c + (4 * 2 + -5c * 2) = -55 c + (8 + -10c) = -55 Reorder the terms: 8 + c + -10c = -55 Combine like terms: c + -10c = -9c 8 + -9c = -55 Solving 8 + -9c = -55 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -9c = -55 + -8 Combine like terms: 8 + -8 = 0 0 + -9c = -55 + -8 -9c = -55 + -8 Combine like terms: -55 + -8 = -63 -9c = -63 Divide each side by '-9'. c = 7 Simplifying c = 7
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