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Simplifying 2(3n + -5) + 3(5n + 2) = 2n + 91 Reorder the terms: 2(-5 + 3n) + 3(5n + 2) = 2n + 91 (-5 * 2 + 3n * 2) + 3(5n + 2) = 2n + 91 (-10 + 6n) + 3(5n + 2) = 2n + 91 Reorder the terms: -10 + 6n + 3(2 + 5n) = 2n + 91 -10 + 6n + (2 * 3 + 5n * 3) = 2n + 91 -10 + 6n + (6 + 15n) = 2n + 91 Reorder the terms: -10 + 6 + 6n + 15n = 2n + 91 Combine like terms: -10 + 6 = -4 -4 + 6n + 15n = 2n + 91 Combine like terms: 6n + 15n = 21n -4 + 21n = 2n + 91 Reorder the terms: -4 + 21n = 91 + 2n Solving -4 + 21n = 91 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -4 + 21n + -2n = 91 + 2n + -2n Combine like terms: 21n + -2n = 19n -4 + 19n = 91 + 2n + -2n Combine like terms: 2n + -2n = 0 -4 + 19n = 91 + 0 -4 + 19n = 91 Add '4' to each side of the equation. -4 + 4 + 19n = 91 + 4 Combine like terms: -4 + 4 = 0 0 + 19n = 91 + 4 19n = 91 + 4 Combine like terms: 91 + 4 = 95 19n = 95 Divide each side by '19'. n = 5 Simplifying n = 5
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