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Simplifying 8 + 2c = c * 5 + 2 Reorder the terms for easier multiplication: 8 + 2c = 5c + 2 Reorder the terms: 8 + 2c = 2 + 5c Solving 8 + 2c = 2 + 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. 8 + 2c + -5c = 2 + 5c + -5c Combine like terms: 2c + -5c = -3c 8 + -3c = 2 + 5c + -5c Combine like terms: 5c + -5c = 0 8 + -3c = 2 + 0 8 + -3c = 2 Add '-8' to each side of the equation. 8 + -8 + -3c = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -3c = 2 + -8 -3c = 2 + -8 Combine like terms: 2 + -8 = -6 -3c = -6 Divide each side by '-3'. c = 2 Simplifying c = 2
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