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Simplifying (7x2 + 4x + -7) + -1(nx2 + -8) = 2x2 + 4x + 1 Reorder the terms: (-7 + 4x + 7x2) + -1(nx2 + -8) = 2x2 + 4x + 1 Remove parenthesis around (-7 + 4x + 7x2) -7 + 4x + 7x2 + -1(nx2 + -8) = 2x2 + 4x + 1 Reorder the terms: -7 + 4x + 7x2 + -1(-8 + nx2) = 2x2 + 4x + 1 -7 + 4x + 7x2 + (-8 * -1 + nx2 * -1) = 2x2 + 4x + 1 -7 + 4x + 7x2 + (8 + -1nx2) = 2x2 + 4x + 1 Reorder the terms: -7 + 8 + -1nx2 + 4x + 7x2 = 2x2 + 4x + 1 Combine like terms: -7 + 8 = 1 1 + -1nx2 + 4x + 7x2 = 2x2 + 4x + 1 Reorder the terms: 1 + -1nx2 + 4x + 7x2 = 1 + 4x + 2x2 Add '-1' to each side of the equation. 1 + -1nx2 + 4x + -1 + 7x2 = 1 + 4x + -1 + 2x2 Reorder the terms: 1 + -1 + -1nx2 + 4x + 7x2 = 1 + 4x + -1 + 2x2 Combine like terms: 1 + -1 = 0 0 + -1nx2 + 4x + 7x2 = 1 + 4x + -1 + 2x2 -1nx2 + 4x + 7x2 = 1 + 4x + -1 + 2x2 Reorder the terms: -1nx2 + 4x + 7x2 = 1 + -1 + 4x + 2x2 Combine like terms: 1 + -1 = 0 -1nx2 + 4x + 7x2 = 0 + 4x + 2x2 -1nx2 + 4x + 7x2 = 4x + 2x2 Add '-4x' to each side of the equation. -1nx2 + 4x + -4x + 7x2 = 4x + -4x + 2x2 Combine like terms: 4x + -4x = 0 -1nx2 + 0 + 7x2 = 4x + -4x + 2x2 -1nx2 + 7x2 = 4x + -4x + 2x2 Combine like terms: 4x + -4x = 0 -1nx2 + 7x2 = 0 + 2x2 -1nx2 + 7x2 = 2x2 Solving -1nx2 + 7x2 = 2x2 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7x2' to each side of the equation. -1nx2 + 7x2 + -7x2 = 2x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -1nx2 + 0 = 2x2 + -7x2 -1nx2 = 2x2 + -7x2 Combine like terms: 2x2 + -7x2 = -5x2 -1nx2 = -5x2 Divide each side by '-1x2'. n = 5 Simplifying n = 5
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