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Simplifying 2c + -5 = 8c + 1 Reorder the terms: -5 + 2c = 8c + 1 Reorder the terms: -5 + 2c = 1 + 8c Solving -5 + 2c = 1 + 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. -5 + 2c + -8c = 1 + 8c + -8c Combine like terms: 2c + -8c = -6c -5 + -6c = 1 + 8c + -8c Combine like terms: 8c + -8c = 0 -5 + -6c = 1 + 0 -5 + -6c = 1 Add '5' to each side of the equation. -5 + 5 + -6c = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -6c = 1 + 5 -6c = 1 + 5 Combine like terms: 1 + 5 = 6 -6c = 6 Divide each side by '-6'. c = -1 Simplifying c = -1
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