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Simplifying -7(3n + 8) + 1 = -160 Reorder the terms: -7(8 + 3n) + 1 = -160 (8 * -7 + 3n * -7) + 1 = -160 (-56 + -21n) + 1 = -160 Reorder the terms: -56 + 1 + -21n = -160 Combine like terms: -56 + 1 = -55 -55 + -21n = -160 Solving -55 + -21n = -160 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + -21n = -160 + 55 Combine like terms: -55 + 55 = 0 0 + -21n = -160 + 55 -21n = -160 + 55 Combine like terms: -160 + 55 = -105 -21n = -105 Divide each side by '-21'. n = 5 Simplifying n = 5
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