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Simplifying x3 + mx2 + nx + -6 = 2 Reorder the terms: -6 + mx2 + nx + x3 = 2 Solving -6 + mx2 + nx + x3 = 2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6' to each side of the equation. -6 + mx2 + nx + 6 + x3 = 2 + 6 Reorder the terms: -6 + 6 + mx2 + nx + x3 = 2 + 6 Combine like terms: -6 + 6 = 0 0 + mx2 + nx + x3 = 2 + 6 mx2 + nx + x3 = 2 + 6 Combine like terms: 2 + 6 = 8 mx2 + nx + x3 = 8 Add '-1nx' to each side of the equation. mx2 + nx + -1nx + x3 = 8 + -1nx Combine like terms: nx + -1nx = 0 mx2 + 0 + x3 = 8 + -1nx mx2 + x3 = 8 + -1nx Add '-1x3' to each side of the equation. mx2 + x3 + -1x3 = 8 + -1nx + -1x3 Combine like terms: x3 + -1x3 = 0 mx2 + 0 = 8 + -1nx + -1x3 mx2 = 8 + -1nx + -1x3 Divide each side by 'x2'. m = 8x-2 + -1nx-1 + -1x Simplifying m = 8x-2 + -1nx-1 + -1x Reorder the terms: m = -1nx-1 + 8x-2 + -1x
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