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Simplifying 7(x + 2) + -1(8n + 6) = 0 Reorder the terms: 7(2 + x) + -1(8n + 6) = 0 (2 * 7 + x * 7) + -1(8n + 6) = 0 (14 + 7x) + -1(8n + 6) = 0 Reorder the terms: 14 + 7x + -1(6 + 8n) = 0 14 + 7x + (6 * -1 + 8n * -1) = 0 14 + 7x + (-6 + -8n) = 0 Reorder the terms: 14 + -6 + -8n + 7x = 0 Combine like terms: 14 + -6 = 8 8 + -8n + 7x = 0 Solving 8 + -8n + 7x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8n + -8 + 7x = 0 + -8 Reorder the terms: 8 + -8 + -8n + 7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -8n + 7x = 0 + -8 -8n + 7x = 0 + -8 Combine like terms: 0 + -8 = -8 -8n + 7x = -8 Add '-7x' to each side of the equation. -8n + 7x + -7x = -8 + -7x Combine like terms: 7x + -7x = 0 -8n + 0 = -8 + -7x -8n = -8 + -7x Divide each side by '-8'. n = 1 + 0.875x Simplifying n = 1 + 0.875x
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