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Simplifying 5(c + -2) = 20 + -5c + 10 Reorder the terms: 5(-2 + c) = 20 + -5c + 10 (-2 * 5 + c * 5) = 20 + -5c + 10 (-10 + 5c) = 20 + -5c + 10 Reorder the terms: -10 + 5c = 20 + 10 + -5c Combine like terms: 20 + 10 = 30 -10 + 5c = 30 + -5c Solving -10 + 5c = 30 + -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. -10 + 5c + 5c = 30 + -5c + 5c Combine like terms: 5c + 5c = 10c -10 + 10c = 30 + -5c + 5c Combine like terms: -5c + 5c = 0 -10 + 10c = 30 + 0 -10 + 10c = 30 Add '10' to each side of the equation. -10 + 10 + 10c = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 10c = 30 + 10 10c = 30 + 10 Combine like terms: 30 + 10 = 40 10c = 40 Divide each side by '10'. c = 4 Simplifying c = 4
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