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Simplifying -373 = -5n + -7(1 + 8n) -373 = -5n + (1 * -7 + 8n * -7) -373 = -5n + (-7 + -56n) Reorder the terms: -373 = -7 + -5n + -56n Combine like terms: -5n + -56n = -61n -373 = -7 + -61n Solving -373 = -7 + -61n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '61n' to each side of the equation. -373 + 61n = -7 + -61n + 61n Combine like terms: -61n + 61n = 0 -373 + 61n = -7 + 0 -373 + 61n = -7 Add '373' to each side of the equation. -373 + 373 + 61n = -7 + 373 Combine like terms: -373 + 373 = 0 0 + 61n = -7 + 373 61n = -7 + 373 Combine like terms: -7 + 373 = 366 61n = 366 Divide each side by '61'. n = 6 Simplifying n = 6
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