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Simplifying 2n2 + 7n + -5 = 2n2 + -3n + 10 Reorder the terms: -5 + 7n + 2n2 = 2n2 + -3n + 10 Reorder the terms: -5 + 7n + 2n2 = 10 + -3n + 2n2 Add '-2n2' to each side of the equation. -5 + 7n + 2n2 + -2n2 = 10 + -3n + 2n2 + -2n2 Combine like terms: 2n2 + -2n2 = 0 -5 + 7n + 0 = 10 + -3n + 2n2 + -2n2 -5 + 7n = 10 + -3n + 2n2 + -2n2 Combine like terms: 2n2 + -2n2 = 0 -5 + 7n = 10 + -3n + 0 -5 + 7n = 10 + -3n Solving -5 + 7n = 10 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -5 + 7n + 3n = 10 + -3n + 3n Combine like terms: 7n + 3n = 10n -5 + 10n = 10 + -3n + 3n Combine like terms: -3n + 3n = 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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