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Simplifying -35 + 3n = -5(n + 7) + -8n Reorder the terms: -35 + 3n = -5(7 + n) + -8n -35 + 3n = (7 * -5 + n * -5) + -8n -35 + 3n = (-35 + -5n) + -8n Combine like terms: -5n + -8n = -13n -35 + 3n = -35 + -13n Add '35' to each side of the equation. -35 + 35 + 3n = -35 + 35 + -13n Combine like terms: -35 + 35 = 0 0 + 3n = -35 + 35 + -13n 3n = -35 + 35 + -13n Combine like terms: -35 + 35 = 0 3n = 0 + -13n 3n = -13n Solving 3n = -13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13n' to each side of the equation. 3n + 13n = -13n + 13n Combine like terms: 3n + 13n = 16n 16n = -13n + 13n Combine like terms: -13n + 13n = 0 16n = 0 Divide each side by '16'. n = 0 Simplifying n = 0
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