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Simplifying N + 2(n + -6) = 5n + -2 Reorder the terms: N + 2(-6 + n) = 5n + -2 N + (-6 * 2 + n * 2) = 5n + -2 N + (-12 + 2n) = 5n + -2 Reorder the terms: -12 + N + 2n = 5n + -2 Reorder the terms: -12 + N + 2n = -2 + 5n Solving -12 + N + 2n = -2 + 5n Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '12' to each side of the equation. -12 + N + 12 + 2n = -2 + 12 + 5n Reorder the terms: -12 + 12 + N + 2n = -2 + 12 + 5n Combine like terms: -12 + 12 = 0 0 + N + 2n = -2 + 12 + 5n N + 2n = -2 + 12 + 5n Combine like terms: -2 + 12 = 10 N + 2n = 10 + 5n Add '-2n' to each side of the equation. N + 2n + -2n = 10 + 5n + -2n Combine like terms: 2n + -2n = 0 N + 0 = 10 + 5n + -2n N = 10 + 5n + -2n Combine like terms: 5n + -2n = 3n N = 10 + 3n Simplifying N = 10 + 3n
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