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Simplifying -4a(x + -2y) + -5(2y + -1x) = 0 (x * -4a + -2y * -4a) + -5(2y + -1x) = 0 (-4ax + 8ay) + -5(2y + -1x) = 0 Reorder the terms: -4ax + 8ay + -5(-1x + 2y) = 0 -4ax + 8ay + (-1x * -5 + 2y * -5) = 0 -4ax + 8ay + (5x + -10y) = 0 Solving -4ax + 8ay + 5x + -10y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5x' to each side of the equation. -4ax + 8ay + 5x + -5x + -10y = 0 + -5x Combine like terms: 5x + -5x = 0 -4ax + 8ay + 0 + -10y = 0 + -5x -4ax + 8ay + -10y = 0 + -5x Remove the zero: -4ax + 8ay + -10y = -5x Add '10y' to each side of the equation. -4ax + 8ay + -10y + 10y = -5x + 10y Combine like terms: -10y + 10y = 0 -4ax + 8ay + 0 = -5x + 10y -4ax + 8ay = -5x + 10y Reorder the terms: -4ax + 8ay + 5x + -10y = -5x + 5x + 10y + -10y Combine like terms: -5x + 5x = 0 -4ax + 8ay + 5x + -10y = 0 + 10y + -10y -4ax + 8ay + 5x + -10y = 10y + -10y Combine like terms: 10y + -10y = 0 -4ax + 8ay + 5x + -10y = 0 The solution to this equation could not be determined.
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