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Simplifying 5(4c + -2) = 2(2c + 19) Reorder the terms: 5(-2 + 4c) = 2(2c + 19) (-2 * 5 + 4c * 5) = 2(2c + 19) (-10 + 20c) = 2(2c + 19) Reorder the terms: -10 + 20c = 2(19 + 2c) -10 + 20c = (19 * 2 + 2c * 2) -10 + 20c = (38 + 4c) Solving -10 + 20c = 38 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -10 + 20c + -4c = 38 + 4c + -4c Combine like terms: 20c + -4c = 16c -10 + 16c = 38 + 4c + -4c Combine like terms: 4c + -4c = 0 -10 + 16c = 38 + 0 -10 + 16c = 38 Add '10' to each side of the equation. -10 + 10 + 16c = 38 + 10 Combine like terms: -10 + 10 = 0 0 + 16c = 38 + 10 16c = 38 + 10 Combine like terms: 38 + 10 = 48 16c = 48 Divide each side by '16'. c = 3 Simplifying c = 3
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