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Simplifying a(x + -1y) + 5(x + -1y) = 0 (x * a + -1y * a) + 5(x + -1y) = 0 (ax + -1ay) + 5(x + -1y) = 0 ax + -1ay + (x * 5 + -1y * 5) = 0 ax + -1ay + (5x + -5y) = 0 Solving ax + -1ay + 5x + -5y = 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. ax + -1ay + 5x + -5x + -5y = 0 + -5x Combine like terms: 5x + -5x = 0 ax + -1ay + 0 + -5y = 0 + -5x ax + -1ay + -5y = 0 + -5x Remove the zero: ax + -1ay + -5y = -5x Add '5y' to each side of the equation. ax + -1ay + -5y + 5y = -5x + 5y Combine like terms: -5y + 5y = 0 ax + -1ay + 0 = -5x + 5y ax + -1ay = -5x + 5y Reorder the terms: ax + -1ay + 5x + -5y = -5x + 5x + 5y + -5y Combine like terms: -5x + 5x = 0 ax + -1ay + 5x + -5y = 0 + 5y + -5y ax + -1ay + 5x + -5y = 5y + -5y Combine like terms: 5y + -5y = 0 ax + -1ay + 5x + -5y = 0 The solution to this equation could not be determined.
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