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Simplifying -35 + 5n = -7(8n + -6) Reorder the terms: -35 + 5n = -7(-6 + 8n) -35 + 5n = (-6 * -7 + 8n * -7) -35 + 5n = (42 + -56n) Solving -35 + 5n = 42 + -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. -35 + 5n + 56n = 42 + -56n + 56n Combine like terms: 5n + 56n = 61n -35 + 61n = 42 + -56n + 56n Combine like terms: -56n + 56n = 0 -35 + 61n = 42 + 0 -35 + 61n = 42 Add '35' to each side of the equation. -35 + 35 + 61n = 42 + 35 Combine like terms: -35 + 35 = 0 0 + 61n = 42 + 35 61n = 42 + 35 Combine like terms: 42 + 35 = 77 61n = 77 Divide each side by '61'. n = 1.262295082 Simplifying n = 1.262295082
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