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Simplifying -7(N + -4) = 3(1 + -4N) Reorder the terms: -7(-4 + N) = 3(1 + -4N) (-4 * -7 + N * -7) = 3(1 + -4N) (28 + -7N) = 3(1 + -4N) 28 + -7N = (1 * 3 + -4N * 3) 28 + -7N = (3 + -12N) Solving 28 + -7N = 3 + -12N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '12N' to each side of the equation. 28 + -7N + 12N = 3 + -12N + 12N Combine like terms: -7N + 12N = 5N 28 + 5N = 3 + -12N + 12N Combine like terms: -12N + 12N = 0 28 + 5N = 3 + 0 28 + 5N = 3 Add '-28' to each side of the equation. 28 + -28 + 5N = 3 + -28 Combine like terms: 28 + -28 = 0 0 + 5N = 3 + -28 5N = 3 + -28 Combine like terms: 3 + -28 = -25 5N = -25 Divide each side by '5'. N = -5 Simplifying N = -5
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