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Simplifying -3(5n + 1) = -39 + -3n Reorder the terms: -3(1 + 5n) = -39 + -3n (1 * -3 + 5n * -3) = -39 + -3n (-3 + -15n) = -39 + -3n Solving -3 + -15n = -39 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -3 + -15n + 3n = -39 + -3n + 3n Combine like terms: -15n + 3n = -12n -3 + -12n = -39 + -3n + 3n Combine like terms: -3n + 3n = 0 -3 + -12n = -39 + 0 -3 + -12n = -39 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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