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Simplifying (4x2 + 2n) + -1(8x4 + 14n) = 0 Reorder the terms: (2n + 4x2) + -1(8x4 + 14n) = 0 Remove parenthesis around (2n + 4x2) 2n + 4x2 + -1(8x4 + 14n) = 0 Reorder the terms: 2n + 4x2 + -1(14n + 8x4) = 0 2n + 4x2 + (14n * -1 + 8x4 * -1) = 0 2n + 4x2 + (-14n + -8x4) = 0 Reorder the terms: 2n + -14n + 4x2 + -8x4 = 0 Combine like terms: 2n + -14n = -12n -12n + 4x2 + -8x4 = 0 Solving -12n + 4x2 + -8x4 = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4x2' to each side of the equation. -12n + 4x2 + -4x2 + -8x4 = 0 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -12n + 0 + -8x4 = 0 + -4x2 -12n + -8x4 = 0 + -4x2 Remove the zero: -12n + -8x4 = -4x2 Add '8x4' to each side of the equation. -12n + -8x4 + 8x4 = -4x2 + 8x4 Combine like terms: -8x4 + 8x4 = 0 -12n + 0 = -4x2 + 8x4 -12n = -4x2 + 8x4 Divide each side by '-12'. n = 0.3333333333x2 + -0.6666666667x4 Simplifying n = 0.3333333333x2 + -0.6666666667x4
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