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Simplifying 2x(a + 8) + -1y(a + 8) = 0 Reorder the terms: 2x(8 + a) + -1y(a + 8) = 0 (8 * 2x + a * 2x) + -1y(a + 8) = 0 Reorder the terms: (2ax + 16x) + -1y(a + 8) = 0 (2ax + 16x) + -1y(a + 8) = 0 Reorder the terms: 2ax + 16x + -1y(8 + a) = 0 2ax + 16x + (8 * -1y + a * -1y) = 0 Reorder the terms: 2ax + 16x + (-1ay + -8y) = 0 2ax + 16x + (-1ay + -8y) = 0 Reorder the terms: 2ax + -1ay + 16x + -8y = 0 Solving 2ax + -1ay + 16x + -8y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16x' to each side of the equation. 2ax + -1ay + 16x + -16x + -8y = 0 + -16x Combine like terms: 16x + -16x = 0 2ax + -1ay + 0 + -8y = 0 + -16x 2ax + -1ay + -8y = 0 + -16x Remove the zero: 2ax + -1ay + -8y = -16x Add '8y' to each side of the equation. 2ax + -1ay + -8y + 8y = -16x + 8y Combine like terms: -8y + 8y = 0 2ax + -1ay + 0 = -16x + 8y 2ax + -1ay = -16x + 8y Reorder the terms: 2ax + -1ay + 16x + -8y = -16x + 16x + 8y + -8y Combine like terms: -16x + 16x = 0 2ax + -1ay + 16x + -8y = 0 + 8y + -8y 2ax + -1ay + 16x + -8y = 8y + -8y Combine like terms: 8y + -8y = 0 2ax + -1ay + 16x + -8y = 0 The solution to this equation could not be determined.
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