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Simplifying -6 + 8(n + 7) = 2(1 + -8n) Reorder the terms: -6 + 8(7 + n) = 2(1 + -8n) -6 + (7 * 8 + n * 8) = 2(1 + -8n) -6 + (56 + 8n) = 2(1 + -8n) Combine like terms: -6 + 56 = 50 50 + 8n = 2(1 + -8n) 50 + 8n = (1 * 2 + -8n * 2) 50 + 8n = (2 + -16n) Solving 50 + 8n = 2 + -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. 50 + 8n + 16n = 2 + -16n + 16n Combine like terms: 8n + 16n = 24n 50 + 24n = 2 + -16n + 16n Combine like terms: -16n + 16n = 0 50 + 24n = 2 + 0 50 + 24n = 2 Add '-50' to each side of the equation. 50 + -50 + 24n = 2 + -50 Combine like terms: 50 + -50 = 0 0 + 24n = 2 + -50 24n = 2 + -50 Combine like terms: 2 + -50 = -48 24n = -48 Divide each side by '24'. n = -2 Simplifying n = -2
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