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Simplifying 8(n + 6) = -5n + 35 Reorder the terms: 8(6 + n) = -5n + 35 (6 * 8 + n * 8) = -5n + 35 (48 + 8n) = -5n + 35 Reorder the terms: 48 + 8n = 35 + -5n Solving 48 + 8n = 35 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 48 + 8n + 5n = 35 + -5n + 5n Combine like terms: 8n + 5n = 13n 48 + 13n = 35 + -5n + 5n Combine like terms: -5n + 5n = 0 48 + 13n = 35 + 0 48 + 13n = 35 Add '-48' to each side of the equation. 48 + -48 + 13n = 35 + -48 Combine like terms: 48 + -48 = 0 0 + 13n = 35 + -48 13n = 35 + -48 Combine like terms: 35 + -48 = -13 13n = -13 Divide each side by '13'. n = -1 Simplifying n = -1
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