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Simplifying -6 + -9n + 1 + -4n = -1(3n + 5) + 10(8n + 7) Reorder the terms: -6 + 1 + -9n + -4n = -1(3n + 5) + 10(8n + 7) Combine like terms: -6 + 1 = -5 -5 + -9n + -4n = -1(3n + 5) + 10(8n + 7) Combine like terms: -9n + -4n = -13n -5 + -13n = -1(3n + 5) + 10(8n + 7) Reorder the terms: -5 + -13n = -1(5 + 3n) + 10(8n + 7) -5 + -13n = (5 * -1 + 3n * -1) + 10(8n + 7) -5 + -13n = (-5 + -3n) + 10(8n + 7) Reorder the terms: -5 + -13n = -5 + -3n + 10(7 + 8n) -5 + -13n = -5 + -3n + (7 * 10 + 8n * 10) -5 + -13n = -5 + -3n + (70 + 80n) Reorder the terms: -5 + -13n = -5 + 70 + -3n + 80n Combine like terms: -5 + 70 = 65 -5 + -13n = 65 + -3n + 80n Combine like terms: -3n + 80n = 77n -5 + -13n = 65 + 77n Solving -5 + -13n = 65 + 77n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-77n' to each side of the equation. -5 + -13n + -77n = 65 + 77n + -77n Combine like terms: -13n + -77n = -90n -5 + -90n = 65 + 77n + -77n Combine like terms: 77n + -77n = 0 -5 + -90n = 65 + 0 -5 + -90n = 65 Add '5' to each side of the equation. -5 + 5 + -90n = 65 + 5 Combine like terms: -5 + 5 = 0 0 + -90n = 65 + 5 -90n = 65 + 5 Combine like terms: 65 + 5 = 70 -90n = 70 Divide each side by '-90'. n = -0.7777777778 Simplifying n = -0.7777777778
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