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Simplifying 5(n + 3) = 2(5n + -4) + 6n Reorder the terms: 5(3 + n) = 2(5n + -4) + 6n (3 * 5 + n * 5) = 2(5n + -4) + 6n (15 + 5n) = 2(5n + -4) + 6n Reorder the terms: 15 + 5n = 2(-4 + 5n) + 6n 15 + 5n = (-4 * 2 + 5n * 2) + 6n 15 + 5n = (-8 + 10n) + 6n Combine like terms: 10n + 6n = 16n 15 + 5n = -8 + 16n Solving 15 + 5n = -8 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. 15 + 5n + -16n = -8 + 16n + -16n Combine like terms: 5n + -16n = -11n 15 + -11n = -8 + 16n + -16n Combine like terms: 16n + -16n = 0 15 + -11n = -8 + 0 15 + -11n = -8 Add '-15' to each side of the equation. 15 + -15 + -11n = -8 + -15 Combine like terms: 15 + -15 = 0 0 + -11n = -8 + -15 -11n = -8 + -15 Combine like terms: -8 + -15 = -23 -11n = -23 Divide each side by '-11'. n = 2.090909091 Simplifying n = 2.090909091
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