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Simplifying j(x + yj) + 2(x + -1yjh) + 1 + -1j = 0 Reorder the terms: j(jy + x) + 2(x + -1yjh) + 1 + -1j = 0 (jy * j + x * j) + 2(x + -1yjh) + 1 + -1j = 0 Reorder the terms: (jx + j2y) + 2(x + -1yjh) + 1 + -1j = 0 (jx + j2y) + 2(x + -1yjh) + 1 + -1j = 0 Reorder the terms: jx + j2y + 2(-1hjy + x) + 1 + -1j = 0 jx + j2y + (-1hjy * 2 + x * 2) + 1 + -1j = 0 jx + j2y + (-2hjy + 2x) + 1 + -1j = 0 Reorder the terms: 1 + -2hjy + -1j + jx + j2y + 2x = 0 Solving 1 + -2hjy + -1j + jx + j2y + 2x = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2hjy + -1j + jx + j2y + -1 + 2x = 0 + -1 Reorder the terms: 1 + -1 + -2hjy + -1j + jx + j2y + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2hjy + -1j + jx + j2y + 2x = 0 + -1 -2hjy + -1j + jx + j2y + 2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2hjy + -1j + jx + j2y + 2x = -1 Add 'j' to each side of the equation. -2hjy + -1j + jx + j2y + j + 2x = -1 + j Reorder the terms: -2hjy + -1j + j + jx + j2y + 2x = -1 + j Combine like terms: -1j + j = 0 -2hjy + 0 + jx + j2y + 2x = -1 + j -2hjy + jx + j2y + 2x = -1 + j Add '-1jx' to each side of the equation. -2hjy + jx + j2y + -1jx + 2x = -1 + j + -1jx Reorder the terms: -2hjy + jx + -1jx + j2y + 2x = -1 + j + -1jx Combine like terms: jx + -1jx = 0 -2hjy + 0 + j2y + 2x = -1 + j + -1jx -2hjy + j2y + 2x = -1 + j + -1jx Add '-1j2y' to each side of the equation. -2hjy + j2y + -1j2y + 2x = -1 + j + -1jx + -1j2y Combine like terms: j2y + -1j2y = 0 -2hjy + 0 + 2x = -1 + j + -1jx + -1j2y -2hjy + 2x = -1 + j + -1jx + -1j2y Add '-2x' to each side of the equation. -2hjy + 2x + -2x = -1 + j + -1jx + -1j2y + -2x Combine like terms: 2x + -2x = 0 -2hjy + 0 = -1 + j + -1jx + -1j2y + -2x -2hjy = -1 + j + -1jx + -1j2y + -2x Divide each side by '-2jy'. h = 0.5j-1y-1 + -0.5y-1 + 0.5xy-1 + 0.5j + j-1xy-1 Simplifying h = 0.5j-1y-1 + -0.5y-1 + 0.5xy-1 + 0.5j + j-1xy-1 Reorder the terms: h = j-1xy-1 + 0.5j-1y-1 + 0.5j + 0.5xy-1 + -0.5y-1
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