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Simplifying 11n + -3(n + 7) = 22 + -1(n + -2) Reorder the terms: 11n + -3(7 + n) = 22 + -1(n + -2) 11n + (7 * -3 + n * -3) = 22 + -1(n + -2) 11n + (-21 + -3n) = 22 + -1(n + -2) Reorder the terms: -21 + 11n + -3n = 22 + -1(n + -2) Combine like terms: 11n + -3n = 8n -21 + 8n = 22 + -1(n + -2) Reorder the terms: -21 + 8n = 22 + -1(-2 + n) -21 + 8n = 22 + (-2 * -1 + n * -1) -21 + 8n = 22 + (2 + -1n) Combine like terms: 22 + 2 = 24 -21 + 8n = 24 + -1n Solving -21 + 8n = 24 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -21 + 8n + n = 24 + -1n + n Combine like terms: 8n + n = 9n -21 + 9n = 24 + -1n + n Combine like terms: -1n + n = 0 -21 + 9n = 24 + 0 -21 + 9n = 24 Add '21' to each side of the equation. -21 + 21 + 9n = 24 + 21 Combine like terms: -21 + 21 = 0 0 + 9n = 24 + 21 9n = 24 + 21 Combine like terms: 24 + 21 = 45 9n = 45 Divide each side by '9'. n = 5 Simplifying n = 5
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