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Simplifying -2c + 8 + 3c = 10 + -5c + -2 Reorder the terms: 8 + -2c + 3c = 10 + -5c + -2 Combine like terms: -2c + 3c = 1c 8 + 1c = 10 + -5c + -2 Reorder the terms: 8 + 1c = 10 + -2 + -5c Combine like terms: 10 + -2 = 8 8 + 1c = 8 + -5c Add '-8' to each side of the equation. 8 + -8 + 1c = 8 + -8 + -5c Combine like terms: 8 + -8 = 0 0 + 1c = 8 + -8 + -5c 1c = 8 + -8 + -5c Combine like terms: 8 + -8 = 0 1c = 0 + -5c 1c = -5c Solving 1c = -5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5c' to each side of the equation. 1c + 5c = -5c + 5c Combine like terms: 1c + 5c = 6c 6c = -5c + 5c Combine like terms: -5c + 5c = 0 6c = 0 Divide each side by '6'. c = 0 Simplifying c = 0
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