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Simplifying 8c + 2 = 3c + 1 Reorder the terms: 2 + 8c = 3c + 1 Reorder the terms: 2 + 8c = 1 + 3c Solving 2 + 8c = 1 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 2 + 8c + -3c = 1 + 3c + -3c Combine like terms: 8c + -3c = 5c 2 + 5c = 1 + 3c + -3c Combine like terms: 3c + -3c = 0 2 + 5c = 1 + 0 2 + 5c = 1 Add '-2' to each side of the equation. 2 + -2 + 5c = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 5c = 1 + -2 5c = 1 + -2 Combine like terms: 1 + -2 = -1 5c = -1 Divide each side by '5'. c = -0.2 Simplifying c = -0.2
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