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Simplifying (7 + -1a) * dx + x2dy = 0 Reorder the terms for easier multiplication: dx(7 + -1a) + x2dy = 0 (7 * dx + -1a * dx) + x2dy = 0 Reorder the terms: (-1adx + 7dx) + x2dy = 0 (-1adx + 7dx) + x2dy = 0 Solving -1adx + 7dx + dx2y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7dx' to each side of the equation. -1adx + 7dx + -7dx + dx2y = 0 + -7dx Combine like terms: 7dx + -7dx = 0 -1adx + 0 + dx2y = 0 + -7dx -1adx + dx2y = 0 + -7dx Remove the zero: -1adx + dx2y = -7dx Add '-1dx2y' to each side of the equation. -1adx + dx2y + -1dx2y = -7dx + -1dx2y Combine like terms: dx2y + -1dx2y = 0 -1adx + 0 = -7dx + -1dx2y -1adx = -7dx + -1dx2y Divide each side by '-1dx'. a = 7 + xy Simplifying a = 7 + xy
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