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Simplifying 5(8c + -5) = 10c + 35 Reorder the terms: 5(-5 + 8c) = 10c + 35 (-5 * 5 + 8c * 5) = 10c + 35 (-25 + 40c) = 10c + 35 Reorder the terms: -25 + 40c = 35 + 10c Solving -25 + 40c = 35 + 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. -25 + 40c + -10c = 35 + 10c + -10c Combine like terms: 40c + -10c = 30c -25 + 30c = 35 + 10c + -10c Combine like terms: 10c + -10c = 0 -25 + 30c = 35 + 0 -25 + 30c = 35 Add '25' to each side of the equation. -25 + 25 + 30c = 35 + 25 Combine like terms: -25 + 25 = 0 0 + 30c = 35 + 25 30c = 35 + 25 Combine like terms: 35 + 25 = 60 30c = 60 Divide each side by '30'. c = 2 Simplifying c = 2
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