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Simplifying 5(3c + -2) = 10c + 35 Reorder the terms: 5(-2 + 3c) = 10c + 35 (-2 * 5 + 3c * 5) = 10c + 35 (-10 + 15c) = 10c + 35 Reorder the terms: -10 + 15c = 35 + 10c Solving -10 + 15c = 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. -10 + 15c + -10c = 35 + 10c + -10c Combine like terms: 15c + -10c = 5c -10 + 5c = 35 + 10c + -10c Combine like terms: 10c + -10c = 0 -10 + 5c = 35 + 0 -10 + 5c = 35 Add '10' to each side of the equation. -10 + 10 + 5c = 35 + 10 Combine like terms: -10 + 10 = 0 0 + 5c = 35 + 10 5c = 35 + 10 Combine like terms: 35 + 10 = 45 5c = 45 Divide each side by '5'. c = 9 Simplifying c = 9
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