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