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Simplifying 10n + -2 = 9n + 5 Reorder the terms: -2 + 10n = 9n + 5 Reorder the terms: -2 + 10n = 5 + 9n Solving -2 + 10n = 5 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -2 + 10n + -9n = 5 + 9n + -9n Combine like terms: 10n + -9n = 1n -2 + 1n = 5 + 9n + -9n Combine like terms: 9n + -9n = 0 -2 + 1n = 5 + 0 -2 + 1n = 5 Add '2' to each side of the equation. -2 + 2 + 1n = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 1n = 5 + 2 1n = 5 + 2 Combine like terms: 5 + 2 = 7 1n = 7 Divide each side by '1'. n = 7 Simplifying n = 7
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