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Simplifying -5n + -3n = 2(4n + 6) + 3(n + -7) Combine like terms: -5n + -3n = -8n -8n = 2(4n + 6) + 3(n + -7) Reorder the terms: -8n = 2(6 + 4n) + 3(n + -7) -8n = (6 * 2 + 4n * 2) + 3(n + -7) -8n = (12 + 8n) + 3(n + -7) Reorder the terms: -8n = 12 + 8n + 3(-7 + n) -8n = 12 + 8n + (-7 * 3 + n * 3) -8n = 12 + 8n + (-21 + 3n) Reorder the terms: -8n = 12 + -21 + 8n + 3n Combine like terms: 12 + -21 = -9 -8n = -9 + 8n + 3n Combine like terms: 8n + 3n = 11n -8n = -9 + 11n Solving -8n = -9 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. -8n + -11n = -9 + 11n + -11n Combine like terms: -8n + -11n = -19n -19n = -9 + 11n + -11n Combine like terms: 11n + -11n = 0 -19n = -9 + 0 -19n = -9 Divide each side by '-19'. n = 0.4736842105 Simplifying n = 0.4736842105
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