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Simplifying 5n + -3(3 + -4n) = 39 + n 5n + (3 * -3 + -4n * -3) = 39 + n 5n + (-9 + 12n) = 39 + n Reorder the terms: -9 + 5n + 12n = 39 + n Combine like terms: 5n + 12n = 17n -9 + 17n = 39 + n Solving -9 + 17n = 39 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -9 + 17n + -1n = 39 + n + -1n Combine like terms: 17n + -1n = 16n -9 + 16n = 39 + n + -1n Combine like terms: n + -1n = 0 -9 + 16n = 39 + 0 -9 + 16n = 39 Add '9' to each side of the equation. -9 + 9 + 16n = 39 + 9 Combine like terms: -9 + 9 = 0 0 + 16n = 39 + 9 16n = 39 + 9 Combine like terms: 39 + 9 = 48 16n = 48 Divide each side by '16'. n = 3 Simplifying n = 3
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