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Simplifying 11(N + -2) = 3(6 + N) Reorder the terms: 11(-2 + N) = 3(6 + N) (-2 * 11 + N * 11) = 3(6 + N) (-22 + 11N) = 3(6 + N) -22 + 11N = (6 * 3 + N * 3) -22 + 11N = (18 + 3N) Solving -22 + 11N = 18 + 3N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-3N' to each side of the equation. -22 + 11N + -3N = 18 + 3N + -3N Combine like terms: 11N + -3N = 8N -22 + 8N = 18 + 3N + -3N Combine like terms: 3N + -3N = 0 -22 + 8N = 18 + 0 -22 + 8N = 18 Add '22' to each side of the equation. -22 + 22 + 8N = 18 + 22 Combine like terms: -22 + 22 = 0 0 + 8N = 18 + 22 8N = 18 + 22 Combine like terms: 18 + 22 = 40 8N = 40 Divide each side by '8'. N = 5 Simplifying N = 5
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