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Simplifying 7(x + 2) + -1(4n + 5) = 0 Reorder the terms: 7(2 + x) + -1(4n + 5) = 0 (2 * 7 + x * 7) + -1(4n + 5) = 0 (14 + 7x) + -1(4n + 5) = 0 Reorder the terms: 14 + 7x + -1(5 + 4n) = 0 14 + 7x + (5 * -1 + 4n * -1) = 0 14 + 7x + (-5 + -4n) = 0 Reorder the terms: 14 + -5 + -4n + 7x = 0 Combine like terms: 14 + -5 = 9 9 + -4n + 7x = 0 Solving 9 + -4n + 7x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -4n + -9 + 7x = 0 + -9 Reorder the terms: 9 + -9 + -4n + 7x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4n + 7x = 0 + -9 -4n + 7x = 0 + -9 Combine like terms: 0 + -9 = -9 -4n + 7x = -9 Add '-7x' to each side of the equation. -4n + 7x + -7x = -9 + -7x Combine like terms: 7x + -7x = 0 -4n + 0 = -9 + -7x -4n = -9 + -7x Divide each side by '-4'. n = 2.25 + 1.75x Simplifying n = 2.25 + 1.75x
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