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Simplifying (4x + 2n) + -1(8x + 14n) = 0 Reorder the terms: (2n + 4x) + -1(8x + 14n) = 0 Remove parenthesis around (2n + 4x) 2n + 4x + -1(8x + 14n) = 0 Reorder the terms: 2n + 4x + -1(14n + 8x) = 0 2n + 4x + (14n * -1 + 8x * -1) = 0 2n + 4x + (-14n + -8x) = 0 Reorder the terms: 2n + -14n + 4x + -8x = 0 Combine like terms: 2n + -14n = -12n -12n + 4x + -8x = 0 Combine like terms: 4x + -8x = -4x -12n + -4x = 0 Solving -12n + -4x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4x' to each side of the equation. -12n + -4x + 4x = 0 + 4x Combine like terms: -4x + 4x = 0 -12n + 0 = 0 + 4x -12n = 0 + 4x Remove the zero: -12n = 4x Divide each side by '-12'. n = -0.3333333333x Simplifying n = -0.3333333333x
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