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Simplifying 5c + -4 + -2 + 1 = 8c + 2 Reorder the terms: -4 + -2 + 1 + 5c = 8c + 2 Combine like terms: -4 + -2 = -6 -6 + 1 + 5c = 8c + 2 Combine like terms: -6 + 1 = -5 -5 + 5c = 8c + 2 Reorder the terms: -5 + 5c = 2 + 8c Solving -5 + 5c = 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. -5 + 5c + -8c = 2 + 8c + -8c Combine like terms: 5c + -8c = -3c -5 + -3c = 2 + 8c + -8c Combine like terms: 8c + -8c = 0 -5 + -3c = 2 + 0 -5 + -3c = 2 Add '5' to each side of the equation. -5 + 5 + -3c = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -3c = 2 + 5 -3c = 2 + 5 Combine like terms: 2 + 5 = 7 -3c = 7 Divide each side by '-3'. c = -2.333333333 Simplifying c = -2.333333333
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