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Simplifying 35 + 6n = (-1 + -7n) + 5n Remove parenthesis around (-1 + -7n) 35 + 6n = -1 + -7n + 5n Combine like terms: -7n + 5n = -2n 35 + 6n = -1 + -2n Solving 35 + 6n = -1 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 35 + 6n + 2n = -1 + -2n + 2n Combine like terms: 6n + 2n = 8n 35 + 8n = -1 + -2n + 2n Combine like terms: -2n + 2n = 0 35 + 8n = -1 + 0 35 + 8n = -1 Add '-35' to each side of the equation. 35 + -35 + 8n = -1 + -35 Combine like terms: 35 + -35 = 0 0 + 8n = -1 + -35 8n = -1 + -35 Combine like terms: -1 + -35 = -36 8n = -36 Divide each side by '8'. n = -4.5 Simplifying n = -4.5
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