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Simplifying -1(n + 8) + 8n = 5n + -10 Reorder the terms: -1(8 + n) + 8n = 5n + -10 (8 * -1 + n * -1) + 8n = 5n + -10 (-8 + -1n) + 8n = 5n + -10 Combine like terms: -1n + 8n = 7n -8 + 7n = 5n + -10 Reorder the terms: -8 + 7n = -10 + 5n Solving -8 + 7n = -10 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -8 + 7n + -5n = -10 + 5n + -5n Combine like terms: 7n + -5n = 2n -8 + 2n = -10 + 5n + -5n Combine like terms: 5n + -5n = 0 -8 + 2n = -10 + 0 -8 + 2n = -10 Add '8' to each side of the equation. -8 + 8 + 2n = -10 + 8 Combine like terms: -8 + 8 = 0 0 + 2n = -10 + 8 2n = -10 + 8 Combine like terms: -10 + 8 = -2 2n = -2 Divide each side by '2'. n = -1 Simplifying n = -1
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