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Simplifying 8(n + 4) + -3(n + 1) = 7(1 + -1n) Reorder the terms: 8(4 + n) + -3(n + 1) = 7(1 + -1n) (4 * 8 + n * 8) + -3(n + 1) = 7(1 + -1n) (32 + 8n) + -3(n + 1) = 7(1 + -1n) Reorder the terms: 32 + 8n + -3(1 + n) = 7(1 + -1n) 32 + 8n + (1 * -3 + n * -3) = 7(1 + -1n) 32 + 8n + (-3 + -3n) = 7(1 + -1n) Reorder the terms: 32 + -3 + 8n + -3n = 7(1 + -1n) Combine like terms: 32 + -3 = 29 29 + 8n + -3n = 7(1 + -1n) Combine like terms: 8n + -3n = 5n 29 + 5n = 7(1 + -1n) 29 + 5n = (1 * 7 + -1n * 7) 29 + 5n = (7 + -7n) Solving 29 + 5n = 7 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 29 + 5n + 7n = 7 + -7n + 7n Combine like terms: 5n + 7n = 12n 29 + 12n = 7 + -7n + 7n Combine like terms: -7n + 7n = 0 29 + 12n = 7 + 0 29 + 12n = 7 Add '-29' to each side of the equation. 29 + -29 + 12n = 7 + -29 Combine like terms: 29 + -29 = 0 0 + 12n = 7 + -29 12n = 7 + -29 Combine like terms: 7 + -29 = -22 12n = -22 Divide each side by '12'. n = -1.833333333 Simplifying n = -1.833333333
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