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Simplifying 5c + -4c + -2c + 1 = 8c + 2 Reorder the terms: 1 + 5c + -4c + -2c = 8c + 2 Combine like terms: 5c + -4c = 1c 1 + 1c + -2c = 8c + 2 Combine like terms: 1c + -2c = -1c 1 + -1c = 8c + 2 Reorder the terms: 1 + -1c = 2 + 8c Solving 1 + -1c = 2 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 1 + -1c + -8c = 2 + 8c + -8c Combine like terms: -1c + -8c = -9c 1 + -9c = 2 + 8c + -8c Combine like terms: 8c + -8c = 0 1 + -9c = 2 + 0 1 + -9c = 2 Add '-1' to each side of the equation. 1 + -1 + -9c = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -9c = 2 + -1 -9c = 2 + -1 Combine like terms: 2 + -1 = 1 -9c = 1 Divide each side by '-9'. c = -0.1111111111 Simplifying c = -0.1111111111
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