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Simplifying -4[N + -5] + 3N = 10 + -3N Reorder the terms: -4[-5 + N] + 3N = 10 + -3N [-5 * -4 + N * -4] + 3N = 10 + -3N [20 + -4N] + 3N = 10 + -3N Combine like terms: -4N + 3N = -1N 20 + -1N = 10 + -3N Solving 20 + -1N = 10 + -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. 20 + -1N + 3N = 10 + -3N + 3N Combine like terms: -1N + 3N = 2N 20 + 2N = 10 + -3N + 3N Combine like terms: -3N + 3N = 0 20 + 2N = 10 + 0 20 + 2N = 10 Add '-20' to each side of the equation. 20 + -20 + 2N = 10 + -20 Combine like terms: 20 + -20 = 0 0 + 2N = 10 + -20 2N = 10 + -20 Combine like terms: 10 + -20 = -10 2N = -10 Divide each side by '2'. N = -5 Simplifying N = -5
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