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Simplifying 7(x + 2) + -1(4n + 8) = 0 Reorder the terms: 7(2 + x) + -1(4n + 8) = 0 (2 * 7 + x * 7) + -1(4n + 8) = 0 (14 + 7x) + -1(4n + 8) = 0 Reorder the terms: 14 + 7x + -1(8 + 4n) = 0 14 + 7x + (8 * -1 + 4n * -1) = 0 14 + 7x + (-8 + -4n) = 0 Reorder the terms: 14 + -8 + -4n + 7x = 0 Combine like terms: 14 + -8 = 6 6 + -4n + 7x = 0 Solving 6 + -4n + 7x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -4n + -6 + 7x = 0 + -6 Reorder the terms: 6 + -6 + -4n + 7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -4n + 7x = 0 + -6 -4n + 7x = 0 + -6 Combine like terms: 0 + -6 = -6 -4n + 7x = -6 Add '-7x' to each side of the equation. -4n + 7x + -7x = -6 + -7x Combine like terms: 7x + -7x = 0 -4n + 0 = -6 + -7x -4n = -6 + -7x Divide each side by '-4'. n = 1.5 + 1.75x Simplifying n = 1.5 + 1.75x
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