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Simplifying -5(c + 2) = 20 + -6c + 10 Reorder the terms: -5(2 + c) = 20 + -6c + 10 (2 * -5 + c * -5) = 20 + -6c + 10 (-10 + -5c) = 20 + -6c + 10 Reorder the terms: -10 + -5c = 20 + 10 + -6c Combine like terms: 20 + 10 = 30 -10 + -5c = 30 + -6c Solving -10 + -5c = 30 + -6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6c' to each side of the equation. -10 + -5c + 6c = 30 + -6c + 6c Combine like terms: -5c + 6c = 1c -10 + 1c = 30 + -6c + 6c Combine like terms: -6c + 6c = 0 -10 + 1c = 30 + 0 -10 + 1c = 30 Add '10' to each side of the equation. -10 + 10 + 1c = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 1c = 30 + 10 1c = 30 + 10 Combine like terms: 30 + 10 = 40 1c = 40 Divide each side by '1'. c = 40 Simplifying c = 40
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