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Simplifying 6(-1n + 8) + -3(5n + -3) = n + 4n Reorder the terms: 6(8 + -1n) + -3(5n + -3) = n + 4n (8 * 6 + -1n * 6) + -3(5n + -3) = n + 4n (48 + -6n) + -3(5n + -3) = n + 4n Reorder the terms: 48 + -6n + -3(-3 + 5n) = n + 4n 48 + -6n + (-3 * -3 + 5n * -3) = n + 4n 48 + -6n + (9 + -15n) = n + 4n Reorder the terms: 48 + 9 + -6n + -15n = n + 4n Combine like terms: 48 + 9 = 57 57 + -6n + -15n = n + 4n Combine like terms: -6n + -15n = -21n 57 + -21n = n + 4n Combine like terms: n + 4n = 5n 57 + -21n = 5n Solving 57 + -21n = 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 57 + -21n + -5n = 5n + -5n Combine like terms: -21n + -5n = -26n 57 + -26n = 5n + -5n Combine like terms: 5n + -5n = 0 57 + -26n = 0 Add '-57' to each side of the equation. 57 + -57 + -26n = 0 + -57 Combine like terms: 57 + -57 = 0 0 + -26n = 0 + -57 -26n = 0 + -57 Combine like terms: 0 + -57 = -57 -26n = -57 Divide each side by '-26'. n = 2.192307692 Simplifying n = 2.192307692
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