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Simplifying 5(c + -4) = 2(c + 5) Reorder the terms: 5(-4 + c) = 2(c + 5) (-4 * 5 + c * 5) = 2(c + 5) (-20 + 5c) = 2(c + 5) Reorder the terms: -20 + 5c = 2(5 + c) -20 + 5c = (5 * 2 + c * 2) -20 + 5c = (10 + 2c) Solving -20 + 5c = 10 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -20 + 5c + -2c = 10 + 2c + -2c Combine like terms: 5c + -2c = 3c -20 + 3c = 10 + 2c + -2c Combine like terms: 2c + -2c = 0 -20 + 3c = 10 + 0 -20 + 3c = 10 Add '20' to each side of the equation. -20 + 20 + 3c = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 3c = 10 + 20 3c = 10 + 20 Combine like terms: 10 + 20 = 30 3c = 30 Divide each side by '3'. c = 10 Simplifying c = 10
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