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Simplifying -7(8n + 7) + -2 = -4n + 1 Reorder the terms: -7(7 + 8n) + -2 = -4n + 1 (7 * -7 + 8n * -7) + -2 = -4n + 1 (-49 + -56n) + -2 = -4n + 1 Reorder the terms: -49 + -2 + -56n = -4n + 1 Combine like terms: -49 + -2 = -51 -51 + -56n = -4n + 1 Reorder the terms: -51 + -56n = 1 + -4n Solving -51 + -56n = 1 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -51 + -56n + 4n = 1 + -4n + 4n Combine like terms: -56n + 4n = -52n -51 + -52n = 1 + -4n + 4n Combine like terms: -4n + 4n = 0 -51 + -52n = 1 + 0 -51 + -52n = 1 Add '51' to each side of the equation. -51 + 51 + -52n = 1 + 51 Combine like terms: -51 + 51 = 0 0 + -52n = 1 + 51 -52n = 1 + 51 Combine like terms: 1 + 51 = 52 -52n = 52 Divide each side by '-52'. n = -1 Simplifying n = -1
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