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Simplifying 8(n + 1) = -1(n + -2) + -3 Reorder the terms: 8(1 + n) = -1(n + -2) + -3 (1 * 8 + n * 8) = -1(n + -2) + -3 (8 + 8n) = -1(n + -2) + -3 Reorder the terms: 8 + 8n = -1(-2 + n) + -3 8 + 8n = (-2 * -1 + n * -1) + -3 8 + 8n = (2 + -1n) + -3 Reorder the terms: 8 + 8n = 2 + -3 + -1n Combine like terms: 2 + -3 = -1 8 + 8n = -1 + -1n Solving 8 + 8n = -1 + -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. 8 + 8n + n = -1 + -1n + n Combine like terms: 8n + n = 9n 8 + 9n = -1 + -1n + n Combine like terms: -1n + n = 0 8 + 9n = -1 + 0 8 + 9n = -1 Add '-8' to each side of the equation. 8 + -8 + 9n = -1 + -8 Combine like terms: 8 + -8 = 0 0 + 9n = -1 + -8 9n = -1 + -8 Combine like terms: -1 + -8 = -9 9n = -9 Divide each side by '9'. n = -1 Simplifying n = -1
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