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Simplifying -5(n + 3) = -39 + n Reorder the terms: -5(3 + n) = -39 + n (3 * -5 + n * -5) = -39 + n (-15 + -5n) = -39 + n Solving -15 + -5n = -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. -15 + -5n + -1n = -39 + n + -1n Combine like terms: -5n + -1n = -6n -15 + -6n = -39 + n + -1n Combine like terms: n + -1n = 0 -15 + -6n = -39 + 0 -15 + -6n = -39 Add '15' to each side of the equation. -15 + 15 + -6n = -39 + 15 Combine like terms: -15 + 15 = 0 0 + -6n = -39 + 15 -6n = -39 + 15 Combine like terms: -39 + 15 = -24 -6n = -24 Divide each side by '-6'. n = 4 Simplifying n = 4
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