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Simplifying 10n + -15 + -5n + 6 + 2c = 0 Reorder the terms: -15 + 6 + 2c + 10n + -5n = 0 Combine like terms: -15 + 6 = -9 -9 + 2c + 10n + -5n = 0 Combine like terms: 10n + -5n = 5n -9 + 2c + 5n = 0 Solving -9 + 2c + 5n = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 2c + 9 + 5n = 0 + 9 Reorder the terms: -9 + 9 + 2c + 5n = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2c + 5n = 0 + 9 2c + 5n = 0 + 9 Combine like terms: 0 + 9 = 9 2c + 5n = 9 Add '-5n' to each side of the equation. 2c + 5n + -5n = 9 + -5n Combine like terms: 5n + -5n = 0 2c + 0 = 9 + -5n 2c = 9 + -5n Divide each side by '2'. c = 4.5 + -2.5n Simplifying c = 4.5 + -2.5n
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