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Simplifying 2n + 7n + -5 = 2n + -3n + 10 Reorder the terms: -5 + 2n + 7n = 2n + -3n + 10 Combine like terms: 2n + 7n = 9n -5 + 9n = 2n + -3n + 10 Reorder the terms: -5 + 9n = 10 + 2n + -3n Combine like terms: 2n + -3n = -1n -5 + 9n = 10 + -1n Solving -5 + 9n = 10 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -5 + 9n + n = 10 + -1n + n Combine like terms: 9n + n = 10n -5 + 10n = 10 + -1n + n Combine like terms: -1n + n = 0 -5 + 10n = 10 + 0 -5 + 10n = 10 Add '5' to each side of the equation. -5 + 5 + 10n = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 10n = 10 + 5 10n = 10 + 5 Combine like terms: 10 + 5 = 15 10n = 15 Divide each side by '10'. n = 1.5 Simplifying n = 1.5
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