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Simplifying -2(-5c + 2) = 5(9 + -2c) Reorder the terms: -2(2 + -5c) = 5(9 + -2c) (2 * -2 + -5c * -2) = 5(9 + -2c) (-4 + 10c) = 5(9 + -2c) -4 + 10c = (9 * 5 + -2c * 5) -4 + 10c = (45 + -10c) Solving -4 + 10c = 45 + -10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '10c' to each side of the equation. -4 + 10c + 10c = 45 + -10c + 10c Combine like terms: 10c + 10c = 20c -4 + 20c = 45 + -10c + 10c Combine like terms: -10c + 10c = 0 -4 + 20c = 45 + 0 -4 + 20c = 45 Add '4' to each side of the equation. -4 + 4 + 20c = 45 + 4 Combine like terms: -4 + 4 = 0 0 + 20c = 45 + 4 20c = 45 + 4 Combine like terms: 45 + 4 = 49 20c = 49 Divide each side by '20'. c = 2.45 Simplifying c = 2.45
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