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Simplifying -6(n + -5) + -7 = -1(1 + -2n) Reorder the terms: -6(-5 + n) + -7 = -1(1 + -2n) (-5 * -6 + n * -6) + -7 = -1(1 + -2n) (30 + -6n) + -7 = -1(1 + -2n) Reorder the terms: 30 + -7 + -6n = -1(1 + -2n) Combine like terms: 30 + -7 = 23 23 + -6n = -1(1 + -2n) 23 + -6n = (1 * -1 + -2n * -1) 23 + -6n = (-1 + 2n) Solving 23 + -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. 23 + -6n + -2n = -1 + 2n + -2n Combine like terms: -6n + -2n = -8n 23 + -8n = -1 + 2n + -2n Combine like terms: 2n + -2n = 0 23 + -8n = -1 + 0 23 + -8n = -1 Add '-23' to each side of the equation. 23 + -23 + -8n = -1 + -23 Combine like terms: 23 + -23 = 0 0 + -8n = -1 + -23 -8n = -1 + -23 Combine like terms: -1 + -23 = -24 -8n = -24 Divide each side by '-8'. n = 3 Simplifying n = 3
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