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Simplifying -1(3 + -2N) + 7N = (N + 3) (3 * -1 + -2N * -1) + 7N = (N + 3) (-3 + 2N) + 7N = (N + 3) Combine like terms: 2N + 7N = 9N -3 + 9N = (N + 3) Reorder the terms: -3 + 9N = (3 + N) Remove parenthesis around (3 + N) -3 + 9N = 3 + N Solving -3 + 9N = 3 + N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-1N' to each side of the equation. -3 + 9N + -1N = 3 + N + -1N Combine like terms: 9N + -1N = 8N -3 + 8N = 3 + N + -1N Combine like terms: N + -1N = 0 -3 + 8N = 3 + 0 -3 + 8N = 3 Add '3' to each side of the equation. -3 + 3 + 8N = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 8N = 3 + 3 8N = 3 + 3 Combine like terms: 3 + 3 = 6 8N = 6 Divide each side by '8'. N = 0.75 Simplifying N = 0.75
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