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Simplifying 8(n + 8) = 19 + -1n Reorder the terms: 8(8 + n) = 19 + -1n (8 * 8 + n * 8) = 19 + -1n (64 + 8n) = 19 + -1n Solving 64 + 8n = 19 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 64 + 8n + n = 19 + -1n + n Combine like terms: 8n + n = 9n 64 + 9n = 19 + -1n + n Combine like terms: -1n + n = 0 64 + 9n = 19 + 0 64 + 9n = 19 Add '-64' to each side of the equation. 64 + -64 + 9n = 19 + -64 Combine like terms: 64 + -64 = 0 0 + 9n = 19 + -64 9n = 19 + -64 Combine like terms: 19 + -64 = -45 9n = -45 Divide each side by '9'. n = -5 Simplifying n = -5
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