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Simplifying -3n + -2n = -7(8n + -5) + 2(n + 7) Combine like terms: -3n + -2n = -5n -5n = -7(8n + -5) + 2(n + 7) Reorder the terms: -5n = -7(-5 + 8n) + 2(n + 7) -5n = (-5 * -7 + 8n * -7) + 2(n + 7) -5n = (35 + -56n) + 2(n + 7) Reorder the terms: -5n = 35 + -56n + 2(7 + n) -5n = 35 + -56n + (7 * 2 + n * 2) -5n = 35 + -56n + (14 + 2n) Reorder the terms: -5n = 35 + 14 + -56n + 2n Combine like terms: 35 + 14 = 49 -5n = 49 + -56n + 2n Combine like terms: -56n + 2n = -54n -5n = 49 + -54n Solving -5n = 49 + -54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '54n' to each side of the equation. -5n + 54n = 49 + -54n + 54n Combine like terms: -5n + 54n = 49n 49n = 49 + -54n + 54n Combine like terms: -54n + 54n = 0 49n = 49 + 0 49n = 49 Divide each side by '49'. n = 1 Simplifying n = 1
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