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Simplifying -7n + -1n = 5(n + 1) + 7(1 + -1n) Combine like terms: -7n + -1n = -8n -8n = 5(n + 1) + 7(1 + -1n) Reorder the terms: -8n = 5(1 + n) + 7(1 + -1n) -8n = (1 * 5 + n * 5) + 7(1 + -1n) -8n = (5 + 5n) + 7(1 + -1n) -8n = 5 + 5n + (1 * 7 + -1n * 7) -8n = 5 + 5n + (7 + -7n) Reorder the terms: -8n = 5 + 7 + 5n + -7n Combine like terms: 5 + 7 = 12 -8n = 12 + 5n + -7n Combine like terms: 5n + -7n = -2n -8n = 12 + -2n Solving -8n = 12 + -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. -8n + 2n = 12 + -2n + 2n Combine like terms: -8n + 2n = -6n -6n = 12 + -2n + 2n Combine like terms: -2n + 2n = 0 -6n = 12 + 0 -6n = 12 Divide each side by '-6'. n = -2 Simplifying n = -2
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