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Simplifying 35 + -8n = 7n + -8(6n + 8) Reorder the terms: 35 + -8n = 7n + -8(8 + 6n) 35 + -8n = 7n + (8 * -8 + 6n * -8) 35 + -8n = 7n + (-64 + -48n) Reorder the terms: 35 + -8n = -64 + 7n + -48n Combine like terms: 7n + -48n = -41n 35 + -8n = -64 + -41n Solving 35 + -8n = -64 + -41n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '41n' to each side of the equation. 35 + -8n + 41n = -64 + -41n + 41n Combine like terms: -8n + 41n = 33n 35 + 33n = -64 + -41n + 41n Combine like terms: -41n + 41n = 0 35 + 33n = -64 + 0 35 + 33n = -64 Add '-35' to each side of the equation. 35 + -35 + 33n = -64 + -35 Combine like terms: 35 + -35 = 0 0 + 33n = -64 + -35 33n = -64 + -35 Combine like terms: -64 + -35 = -99 33n = -99 Divide each side by '33'. n = -3 Simplifying n = -3
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