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Simplifying 8n + 8(n + 7) = -35 + 3n Reorder the terms: 8n + 8(7 + n) = -35 + 3n 8n + (7 * 8 + n * 8) = -35 + 3n 8n + (56 + 8n) = -35 + 3n Reorder the terms: 56 + 8n + 8n = -35 + 3n Combine like terms: 8n + 8n = 16n 56 + 16n = -35 + 3n Solving 56 + 16n = -35 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 56 + 16n + -3n = -35 + 3n + -3n Combine like terms: 16n + -3n = 13n 56 + 13n = -35 + 3n + -3n Combine like terms: 3n + -3n = 0 56 + 13n = -35 + 0 56 + 13n = -35 Add '-56' to each side of the equation. 56 + -56 + 13n = -35 + -56 Combine like terms: 56 + -56 = 0 0 + 13n = -35 + -56 13n = -35 + -56 Combine like terms: -35 + -56 = -91 13n = -91 Divide each side by '13'. n = -7 Simplifying n = -7
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