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Simplifying -39 + -6n = -3(n + 6) Reorder the terms: -39 + -6n = -3(6 + n) -39 + -6n = (6 * -3 + n * -3) -39 + -6n = (-18 + -3n) Solving -39 + -6n = -18 + -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. -39 + -6n + 3n = -18 + -3n + 3n Combine like terms: -6n + 3n = -3n -39 + -3n = -18 + -3n + 3n Combine like terms: -3n + 3n = 0 -39 + -3n = -18 + 0 -39 + -3n = -18 Add '39' to each side of the equation. -39 + 39 + -3n = -18 + 39 Combine like terms: -39 + 39 = 0 0 + -3n = -18 + 39 -3n = -18 + 39 Combine like terms: -18 + 39 = 21 -3n = 21 Divide each side by '-3'. n = -7 Simplifying n = -7
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