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Simplifying 5c + -2 + -2c + 1 = 8c + 2 Reorder the terms: -2 + 1 + 5c + -2c = 8c + 2 Combine like terms: -2 + 1 = -1 -1 + 5c + -2c = 8c + 2 Combine like terms: 5c + -2c = 3c -1 + 3c = 8c + 2 Reorder the terms: -1 + 3c = 2 + 8c Solving -1 + 3c = 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 + 3c + -8c = 2 + 8c + -8c Combine like terms: 3c + -8c = -5c -1 + -5c = 2 + 8c + -8c Combine like terms: 8c + -8c = 0 -1 + -5c = 2 + 0 -1 + -5c = 2 Add '1' to each side of the equation. -1 + 1 + -5c = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -5c = 2 + 1 -5c = 2 + 1 Combine like terms: 2 + 1 = 3 -5c = 3 Divide each side by '-5'. c = -0.6 Simplifying c = -0.6
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