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Simplifying -3n + -1(8n + -7) = n + -1(n + 4) Reorder the terms: -3n + -1(-7 + 8n) = n + -1(n + 4) -3n + (-7 * -1 + 8n * -1) = n + -1(n + 4) -3n + (7 + -8n) = n + -1(n + 4) Reorder the terms: 7 + -3n + -8n = n + -1(n + 4) Combine like terms: -3n + -8n = -11n 7 + -11n = n + -1(n + 4) Reorder the terms: 7 + -11n = n + -1(4 + n) 7 + -11n = n + (4 * -1 + n * -1) 7 + -11n = n + (-4 + -1n) Reorder the terms: 7 + -11n = -4 + n + -1n Combine like terms: n + -1n = 0 7 + -11n = -4 + 0 7 + -11n = -4 Solving 7 + -11n = -4 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -11n = -4 + -7 Combine like terms: 7 + -7 = 0 0 + -11n = -4 + -7 -11n = -4 + -7 Combine like terms: -4 + -7 = -11 -11n = -11 Divide each side by '-11'. n = 1 Simplifying n = 1
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