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Simplifying -25 + 2c = -8(5c + 9) Reorder the terms: -25 + 2c = -8(9 + 5c) -25 + 2c = (9 * -8 + 5c * -8) -25 + 2c = (-72 + -40c) Solving -25 + 2c = -72 + -40c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '40c' to each side of the equation. -25 + 2c + 40c = -72 + -40c + 40c Combine like terms: 2c + 40c = 42c -25 + 42c = -72 + -40c + 40c Combine like terms: -40c + 40c = 0 -25 + 42c = -72 + 0 -25 + 42c = -72 Add '25' to each side of the equation. -25 + 25 + 42c = -72 + 25 Combine like terms: -25 + 25 = 0 0 + 42c = -72 + 25 42c = -72 + 25 Combine like terms: -72 + 25 = -47 42c = -47 Divide each side by '42'. c = -1.119047619 Simplifying c = -1.119047619
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