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Simplifying N + 2(q + 4) + -1n = 5q + -6 + 7 Reorder the terms: N + 2(4 + q) + -1n = 5q + -6 + 7 N + (4 * 2 + q * 2) + -1n = 5q + -6 + 7 N + (8 + 2q) + -1n = 5q + -6 + 7 Reorder the terms: 8 + N + -1n + 2q = 5q + -6 + 7 Reorder the terms: 8 + N + -1n + 2q = -6 + 7 + 5q Combine like terms: -6 + 7 = 1 8 + N + -1n + 2q = 1 + 5q Solving 8 + N + -1n + 2q = 1 + 5q Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + N + -1n + -8 + 2q = 1 + -8 + 5q Reorder the terms: 8 + -8 + N + -1n + 2q = 1 + -8 + 5q Combine like terms: 8 + -8 = 0 0 + N + -1n + 2q = 1 + -8 + 5q N + -1n + 2q = 1 + -8 + 5q Combine like terms: 1 + -8 = -7 N + -1n + 2q = -7 + 5q Add 'n' to each side of the equation. N + -1n + n + 2q = -7 + n + 5q Combine like terms: -1n + n = 0 N + 0 + 2q = -7 + n + 5q N + 2q = -7 + n + 5q Add '-2q' to each side of the equation. N + 2q + -2q = -7 + n + 5q + -2q Combine like terms: 2q + -2q = 0 N + 0 = -7 + n + 5q + -2q N = -7 + n + 5q + -2q Combine like terms: 5q + -2q = 3q N = -7 + n + 3q Simplifying N = -7 + n + 3q
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