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Simplifying 2n + -35 = -7(5 + 8n) + -5n Reorder the terms: -35 + 2n = -7(5 + 8n) + -5n -35 + 2n = (5 * -7 + 8n * -7) + -5n -35 + 2n = (-35 + -56n) + -5n Combine like terms: -56n + -5n = -61n -35 + 2n = -35 + -61n Add '35' to each side of the equation. -35 + 35 + 2n = -35 + 35 + -61n Combine like terms: -35 + 35 = 0 0 + 2n = -35 + 35 + -61n 2n = -35 + 35 + -61n Combine like terms: -35 + 35 = 0 2n = 0 + -61n 2n = -61n Solving 2n = -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. 2n + 61n = -61n + 61n Combine like terms: 2n + 61n = 63n 63n = -61n + 61n Combine like terms: -61n + 61n = 0 63n = 0 Divide each side by '63'. n = 0 Simplifying n = 0
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