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Simplifying -7(n + -7) + 7(2 + -8n) = -1n + n Reorder the terms: -7(-7 + n) + 7(2 + -8n) = -1n + n (-7 * -7 + n * -7) + 7(2 + -8n) = -1n + n (49 + -7n) + 7(2 + -8n) = -1n + n 49 + -7n + (2 * 7 + -8n * 7) = -1n + n 49 + -7n + (14 + -56n) = -1n + n Reorder the terms: 49 + 14 + -7n + -56n = -1n + n Combine like terms: 49 + 14 = 63 63 + -7n + -56n = -1n + n Combine like terms: -7n + -56n = -63n 63 + -63n = -1n + n Combine like terms: -1n + n = 0 63 + -63n = 0 Solving 63 + -63n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + -63n = 0 + -63 Combine like terms: 63 + -63 = 0 0 + -63n = 0 + -63 -63n = 0 + -63 Combine like terms: 0 + -63 = -63 -63n = -63 Divide each side by '-63'. n = 1 Simplifying n = 1
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