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Simplifying 3a(5x + y) + -1(-1y + -5x) = 0 (5x * 3a + y * 3a) + -1(-1y + -5x) = 0 (15ax + 3ay) + -1(-1y + -5x) = 0 Reorder the terms: 15ax + 3ay + -1(-5x + -1y) = 0 15ax + 3ay + (-5x * -1 + -1y * -1) = 0 15ax + 3ay + (5x + 1y) = 0 Solving 15ax + 3ay + 5x + 1y = 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. 15ax + 3ay + 5x + -5x + 1y = 0 + -5x Combine like terms: 5x + -5x = 0 15ax + 3ay + 0 + 1y = 0 + -5x 15ax + 3ay + 1y = 0 + -5x Remove the zero: 15ax + 3ay + 1y = -5x Add '-1y' to each side of the equation. 15ax + 3ay + 1y + -1y = -5x + -1y Combine like terms: 1y + -1y = 0 15ax + 3ay + 0 = -5x + -1y 15ax + 3ay = -5x + -1y Reorder the terms: 15ax + 3ay + 5x + y = -5x + 5x + -1y + y Combine like terms: -5x + 5x = 0 15ax + 3ay + 5x + y = 0 + -1y + y 15ax + 3ay + 5x + y = -1y + y Combine like terms: -1y + y = 0 15ax + 3ay + 5x + y = 0 The solution to this equation could not be determined.
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