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Simplifying N + -8 + n + 3 = -5(4 + -1n) + -3(n + -4) Reorder the terms: -8 + 3 + N + n = -5(4 + -1n) + -3(n + -4) Combine like terms: -8 + 3 = -5 -5 + N + n = -5(4 + -1n) + -3(n + -4) -5 + N + n = (4 * -5 + -1n * -5) + -3(n + -4) -5 + N + n = (-20 + 5n) + -3(n + -4) Reorder the terms: -5 + N + n = -20 + 5n + -3(-4 + n) -5 + N + n = -20 + 5n + (-4 * -3 + n * -3) -5 + N + n = -20 + 5n + (12 + -3n) Reorder the terms: -5 + N + n = -20 + 12 + 5n + -3n Combine like terms: -20 + 12 = -8 -5 + N + n = -8 + 5n + -3n Combine like terms: 5n + -3n = 2n -5 + N + n = -8 + 2n Solving -5 + N + n = -8 + 2n Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '5' to each side of the equation. -5 + N + 5 + n = -8 + 5 + 2n Reorder the terms: -5 + 5 + N + n = -8 + 5 + 2n Combine like terms: -5 + 5 = 0 0 + N + n = -8 + 5 + 2n N + n = -8 + 5 + 2n Combine like terms: -8 + 5 = -3 N + n = -3 + 2n Add '-1n' to each side of the equation. N + n + -1n = -3 + 2n + -1n Combine like terms: n + -1n = 0 N + 0 = -3 + 2n + -1n N = -3 + 2n + -1n Combine like terms: 2n + -1n = 1n N = -3 + 1n Simplifying N = -3 + 1n
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