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Simplifying 2(5c + -2) = 2(4c + 10) Reorder the terms: 2(-2 + 5c) = 2(4c + 10) (-2 * 2 + 5c * 2) = 2(4c + 10) (-4 + 10c) = 2(4c + 10) Reorder the terms: -4 + 10c = 2(10 + 4c) -4 + 10c = (10 * 2 + 4c * 2) -4 + 10c = (20 + 8c) Solving -4 + 10c = 20 + 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. -4 + 10c + -8c = 20 + 8c + -8c Combine like terms: 10c + -8c = 2c -4 + 2c = 20 + 8c + -8c Combine like terms: 8c + -8c = 0 -4 + 2c = 20 + 0 -4 + 2c = 20 Add '4' to each side of the equation. -4 + 4 + 2c = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 2c = 20 + 4 2c = 20 + 4 Combine like terms: 20 + 4 = 24 2c = 24 Divide each side by '2'. c = 12 Simplifying c = 12
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