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Simplifying -39 + -1n = 2n + -3(1 + 7n) -39 + -1n = 2n + (1 * -3 + 7n * -3) -39 + -1n = 2n + (-3 + -21n) Reorder the terms: -39 + -1n = -3 + 2n + -21n Combine like terms: 2n + -21n = -19n -39 + -1n = -3 + -19n Solving -39 + -1n = -3 + -19n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '19n' to each side of the equation. -39 + -1n + 19n = -3 + -19n + 19n Combine like terms: -1n + 19n = 18n -39 + 18n = -3 + -19n + 19n Combine like terms: -19n + 19n = 0 -39 + 18n = -3 + 0 -39 + 18n = -3 Add '39' to each side of the equation. -39 + 39 + 18n = -3 + 39 Combine like terms: -39 + 39 = 0 0 + 18n = -3 + 39 18n = -3 + 39 Combine like terms: -3 + 39 = 36 18n = 36 Divide each side by '18'. n = 2 Simplifying n = 2
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