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Simplifying 7(n + -6) + -1(8 + -1n) = 0 Reorder the terms: 7(-6 + n) + -1(8 + -1n) = 0 (-6 * 7 + n * 7) + -1(8 + -1n) = 0 (-42 + 7n) + -1(8 + -1n) = 0 -42 + 7n + (8 * -1 + -1n * -1) = 0 -42 + 7n + (-8 + 1n) = 0 Reorder the terms: -42 + -8 + 7n + 1n = 0 Combine like terms: -42 + -8 = -50 -50 + 7n + 1n = 0 Combine like terms: 7n + 1n = 8n -50 + 8n = 0 Solving -50 + 8n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 8n = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 8n = 0 + 50 8n = 0 + 50 Combine like terms: 0 + 50 = 50 8n = 50 Divide each side by '8'. n = 6.25 Simplifying n = 6.25
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