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Simplifying -39 + 7n = -4 + 7(4 + -8n) -39 + 7n = -4 + (4 * 7 + -8n * 7) -39 + 7n = -4 + (28 + -56n) Combine like terms: -4 + 28 = 24 -39 + 7n = 24 + -56n Solving -39 + 7n = 24 + -56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '56n' to each side of the equation. -39 + 7n + 56n = 24 + -56n + 56n Combine like terms: 7n + 56n = 63n -39 + 63n = 24 + -56n + 56n Combine like terms: -56n + 56n = 0 -39 + 63n = 24 + 0 -39 + 63n = 24 Add '39' to each side of the equation. -39 + 39 + 63n = 24 + 39 Combine like terms: -39 + 39 = 0 0 + 63n = 24 + 39 63n = 24 + 39 Combine like terms: 24 + 39 = 63 63n = 63 Divide each side by '63'. n = 1 Simplifying n = 1
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