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Simplifying 4n + 3(x + 1) + 2(x + 2) = 77 Reorder the terms: 4n + 3(1 + x) + 2(x + 2) = 77 4n + (1 * 3 + x * 3) + 2(x + 2) = 77 4n + (3 + 3x) + 2(x + 2) = 77 Reorder the terms: 4n + 3 + 3x + 2(2 + x) = 77 4n + 3 + 3x + (2 * 2 + x * 2) = 77 4n + 3 + 3x + (4 + 2x) = 77 Reorder the terms: 3 + 4 + 4n + 3x + 2x = 77 Combine like terms: 3 + 4 = 7 7 + 4n + 3x + 2x = 77 Combine like terms: 3x + 2x = 5x 7 + 4n + 5x = 77 Solving 7 + 4n + 5x = 77 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 4n + -7 + 5x = 77 + -7 Reorder the terms: 7 + -7 + 4n + 5x = 77 + -7 Combine like terms: 7 + -7 = 0 0 + 4n + 5x = 77 + -7 4n + 5x = 77 + -7 Combine like terms: 77 + -7 = 70 4n + 5x = 70 Add '-5x' to each side of the equation. 4n + 5x + -5x = 70 + -5x Combine like terms: 5x + -5x = 0 4n + 0 = 70 + -5x 4n = 70 + -5x Divide each side by '4'. n = 17.5 + -1.25x Simplifying n = 17.5 + -1.25x
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