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Simplifying N + 7 = -6n + -2(1 + -5n) Reorder the terms: 7 + N = -6n + -2(1 + -5n) 7 + N = -6n + (1 * -2 + -5n * -2) 7 + N = -6n + (-2 + 10n) Reorder the terms: 7 + N = -2 + -6n + 10n Combine like terms: -6n + 10n = 4n 7 + N = -2 + 4n Solving 7 + N = -2 + 4n Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + N = -2 + -7 + 4n Combine like terms: 7 + -7 = 0 0 + N = -2 + -7 + 4n N = -2 + -7 + 4n Combine like terms: -2 + -7 = -9 N = -9 + 4n Simplifying N = -9 + 4n
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