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Simplifying -1(a + b) + -1(x + -1y) = 0 (a * -1 + b * -1) + -1(x + -1y) = 0 (-1a + -1b) + -1(x + -1y) = 0 -1a + -1b + (x * -1 + -1y * -1) = 0 -1a + -1b + (-1x + 1y) = 0 Solving -1a + -1b + -1x + 1y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. -1a + -1b + -1x + b + 1y = 0 + b Reorder the terms: -1a + -1b + b + -1x + 1y = 0 + b Combine like terms: -1b + b = 0 -1a + 0 + -1x + 1y = 0 + b -1a + -1x + 1y = 0 + b Remove the zero: -1a + -1x + 1y = b Add 'x' to each side of the equation. -1a + -1x + x + 1y = b + x Combine like terms: -1x + x = 0 -1a + 0 + 1y = b + x -1a + 1y = b + x Add '-1y' to each side of the equation. -1a + 1y + -1y = b + x + -1y Combine like terms: 1y + -1y = 0 -1a + 0 = b + x + -1y -1a = b + x + -1y Divide each side by '-1'. a = -1b + -1x + y Simplifying a = -1b + -1x + y
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