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Simplifying -497 = 7(8n + -7) Reorder the terms: -497 = 7(-7 + 8n) -497 = (-7 * 7 + 8n * 7) -497 = (-49 + 56n) Solving -497 = -49 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. -497 + -56n = -49 + 56n + -56n Combine like terms: 56n + -56n = 0 -497 + -56n = -49 + 0 -497 + -56n = -49 Add '497' to each side of the equation. -497 + 497 + -56n = -49 + 497 Combine like terms: -497 + 497 = 0 0 + -56n = -49 + 497 -56n = -49 + 497 Combine like terms: -49 + 497 = 448 -56n = 448 Divide each side by '-56'. n = -8 Simplifying n = -8
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