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Simplifying -39 + n = -6n + -3(n + 3) Reorder the terms: -39 + n = -6n + -3(3 + n) -39 + n = -6n + (3 * -3 + n * -3) -39 + n = -6n + (-9 + -3n) Reorder the terms: -39 + n = -9 + -6n + -3n Combine like terms: -6n + -3n = -9n -39 + n = -9 + -9n Solving -39 + n = -9 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -39 + n + 9n = -9 + -9n + 9n Combine like terms: n + 9n = 10n -39 + 10n = -9 + -9n + 9n Combine like terms: -9n + 9n = 0 -39 + 10n = -9 + 0 -39 + 10n = -9 Add '39' to each side of the equation. -39 + 39 + 10n = -9 + 39 Combine like terms: -39 + 39 = 0 0 + 10n = -9 + 39 10n = -9 + 39 Combine like terms: -9 + 39 = 30 10n = 30 Divide each side by '10'. n = 3 Simplifying n = 3
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