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Simplifying -1(3 + -2N) + 7N = (N + 3) * 3 (3 * -1 + -2N * -1) + 7N = (N + 3) * 3 (-3 + 2N) + 7N = (N + 3) * 3 Combine like terms: 2N + 7N = 9N -3 + 9N = (N + 3) * 3 Reorder the terms: -3 + 9N = (3 + N) * 3 Reorder the terms for easier multiplication: -3 + 9N = 3(3 + N) -3 + 9N = (3 * 3 + N * 3) -3 + 9N = (9 + 3N) Solving -3 + 9N = 9 + 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. -3 + 9N + -3N = 9 + 3N + -3N Combine like terms: 9N + -3N = 6N -3 + 6N = 9 + 3N + -3N Combine like terms: 3N + -3N = 0 -3 + 6N = 9 + 0 -3 + 6N = 9 Add '3' to each side of the equation. -3 + 3 + 6N = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 6N = 9 + 3 6N = 9 + 3 Combine like terms: 9 + 3 = 12 6N = 12 Divide each side by '6'. N = 2 Simplifying N = 2
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