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Simplifying x2 + 2xy + y2 + -1m + -1n = 0 Reorder the terms: -1m + -1n + 2xy + x2 + y2 = 0 Solving -1m + -1n + 2xy + x2 + y2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. -1m + -1n + 2xy + x2 + n + y2 = 0 + n Reorder the terms: -1m + -1n + n + 2xy + x2 + y2 = 0 + n Combine like terms: -1n + n = 0 -1m + 0 + 2xy + x2 + y2 = 0 + n -1m + 2xy + x2 + y2 = 0 + n Remove the zero: -1m + 2xy + x2 + y2 = n Add '-2xy' to each side of the equation. -1m + 2xy + x2 + -2xy + y2 = n + -2xy Reorder the terms: -1m + 2xy + -2xy + x2 + y2 = n + -2xy Combine like terms: 2xy + -2xy = 0 -1m + 0 + x2 + y2 = n + -2xy -1m + x2 + y2 = n + -2xy Add '-1x2' to each side of the equation. -1m + x2 + -1x2 + y2 = n + -2xy + -1x2 Combine like terms: x2 + -1x2 = 0 -1m + 0 + y2 = n + -2xy + -1x2 -1m + y2 = n + -2xy + -1x2 Add '-1y2' to each side of the equation. -1m + y2 + -1y2 = n + -2xy + -1x2 + -1y2 Combine like terms: y2 + -1y2 = 0 -1m + 0 = n + -2xy + -1x2 + -1y2 -1m = n + -2xy + -1x2 + -1y2 Divide each side by '-1'. m = -1n + 2xy + x2 + y2 Simplifying m = -1n + 2xy + x2 + y2
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