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Simplifying 2(c + -5) = 8c + 2 Reorder the terms: 2(-5 + c) = 8c + 2 (-5 * 2 + c * 2) = 8c + 2 (-10 + 2c) = 8c + 2 Reorder the terms: -10 + 2c = 2 + 8c Solving -10 + 2c = 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. -10 + 2c + -8c = 2 + 8c + -8c Combine like terms: 2c + -8c = -6c -10 + -6c = 2 + 8c + -8c Combine like terms: 8c + -8c = 0 -10 + -6c = 2 + 0 -10 + -6c = 2 Add '10' to each side of the equation. -10 + 10 + -6c = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -6c = 2 + 10 -6c = 2 + 10 Combine like terms: 2 + 10 = 12 -6c = 12 Divide each side by '-6'. c = -2 Simplifying c = -2
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