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Simplifying (x + y)(n + 1) + -3(n + 1) = 0 Reorder the terms: (x + y)(1 + n) + -3(n + 1) = 0 Multiply (x + y) * (1 + n) (x(1 + n) + y(1 + n)) + -3(n + 1) = 0 ((1 * x + n * x) + y(1 + n)) + -3(n + 1) = 0 Reorder the terms: ((nx + 1x) + y(1 + n)) + -3(n + 1) = 0 ((nx + 1x) + y(1 + n)) + -3(n + 1) = 0 (nx + 1x + (1 * y + n * y)) + -3(n + 1) = 0 Reorder the terms: (nx + 1x + (ny + 1y)) + -3(n + 1) = 0 (nx + 1x + (ny + 1y)) + -3(n + 1) = 0 Reorder the terms: (nx + ny + 1x + 1y) + -3(n + 1) = 0 (nx + ny + 1x + 1y) + -3(n + 1) = 0 Reorder the terms: nx + ny + 1x + 1y + -3(1 + n) = 0 nx + ny + 1x + 1y + (1 * -3 + n * -3) = 0 nx + ny + 1x + 1y + (-3 + -3n) = 0 Reorder the terms: -3 + -3n + nx + ny + 1x + 1y = 0 Solving -3 + -3n + nx + ny + 1x + 1y = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -3n + nx + ny + 1x + 3 + 1y = 0 + 3 Reorder the terms: -3 + 3 + -3n + nx + ny + 1x + 1y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -3n + nx + ny + 1x + 1y = 0 + 3 -3n + nx + ny + 1x + 1y = 0 + 3 Combine like terms: 0 + 3 = 3 -3n + nx + ny + 1x + 1y = 3 Add '-1x' to each side of the equation. -3n + nx + ny + 1x + -1x + 1y = 3 + -1x Combine like terms: 1x + -1x = 0 -3n + nx + ny + 0 + 1y = 3 + -1x -3n + nx + ny + 1y = 3 + -1x Add '-1y' to each side of the equation. -3n + nx + ny + 1y + -1y = 3 + -1x + -1y Combine like terms: 1y + -1y = 0 -3n + nx + ny + 0 = 3 + -1x + -1y -3n + nx + ny = 3 + -1x + -1y Reorder the terms: -3 + -3n + nx + ny + x + y = 3 + -1x + -1y + -3 + x + y Reorder the terms: -3 + -3n + nx + ny + x + y = 3 + -3 + -1x + x + -1y + y Combine like terms: 3 + -3 = 0 -3 + -3n + nx + ny + x + y = 0 + -1x + x + -1y + y -3 + -3n + nx + ny + x + y = -1x + x + -1y + y Combine like terms: -1x + x = 0 -3 + -3n + nx + ny + x + y = 0 + -1y + y -3 + -3n + nx + ny + x + y = -1y + y Combine like terms: -1y + y = 0 -3 + -3n + nx + ny + x + y = 0 The solution to this equation could not be determined.
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