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Simplifying 8(x + 2) + -1(4n + 9) = 0 Reorder the terms: 8(2 + x) + -1(4n + 9) = 0 (2 * 8 + x * 8) + -1(4n + 9) = 0 (16 + 8x) + -1(4n + 9) = 0 Reorder the terms: 16 + 8x + -1(9 + 4n) = 0 16 + 8x + (9 * -1 + 4n * -1) = 0 16 + 8x + (-9 + -4n) = 0 Reorder the terms: 16 + -9 + -4n + 8x = 0 Combine like terms: 16 + -9 = 7 7 + -4n + 8x = 0 Solving 7 + -4n + 8x = 0 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 + 8x = 0 + -7 Reorder the terms: 7 + -7 + -4n + 8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4n + 8x = 0 + -7 -4n + 8x = 0 + -7 Combine like terms: 0 + -7 = -7 -4n + 8x = -7 Add '-8x' to each side of the equation. -4n + 8x + -8x = -7 + -8x Combine like terms: 8x + -8x = 0 -4n + 0 = -7 + -8x -4n = -7 + -8x Divide each side by '-4'. n = 1.75 + 2x Simplifying n = 1.75 + 2x
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