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Simplifying -3(5 + 3n) + -3(n + -4) = -39 (5 * -3 + 3n * -3) + -3(n + -4) = -39 (-15 + -9n) + -3(n + -4) = -39 Reorder the terms: -15 + -9n + -3(-4 + n) = -39 -15 + -9n + (-4 * -3 + n * -3) = -39 -15 + -9n + (12 + -3n) = -39 Reorder the terms: -15 + 12 + -9n + -3n = -39 Combine like terms: -15 + 12 = -3 -3 + -9n + -3n = -39 Combine like terms: -9n + -3n = -12n -3 + -12n = -39 Solving -3 + -12n = -39 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -12n = -39 + 3 Combine like terms: -3 + 3 = 0 0 + -12n = -39 + 3 -12n = -39 + 3 Combine like terms: -39 + 3 = -36 -12n = -36 Divide each side by '-12'. n = 3 Simplifying n = 3
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