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Simplifying (9y + -5x + 15a) + (-6y + 8x + -10a) = 0 Reorder the terms: (15a + -5x + 9y) + (-6y + 8x + -10a) = 0 Remove parenthesis around (15a + -5x + 9y) 15a + -5x + 9y + (-6y + 8x + -10a) = 0 Reorder the terms: 15a + -5x + 9y + (-10a + 8x + -6y) = 0 Remove parenthesis around (-10a + 8x + -6y) 15a + -5x + 9y + -10a + 8x + -6y = 0 Reorder the terms: 15a + -10a + -5x + 8x + 9y + -6y = 0 Combine like terms: 15a + -10a = 5a 5a + -5x + 8x + 9y + -6y = 0 Combine like terms: -5x + 8x = 3x 5a + 3x + 9y + -6y = 0 Combine like terms: 9y + -6y = 3y 5a + 3x + 3y = 0 Solving 5a + 3x + 3y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3x' to each side of the equation. 5a + 3x + -3x + 3y = 0 + -3x Combine like terms: 3x + -3x = 0 5a + 0 + 3y = 0 + -3x 5a + 3y = 0 + -3x Remove the zero: 5a + 3y = -3x Add '-3y' to each side of the equation. 5a + 3y + -3y = -3x + -3y Combine like terms: 3y + -3y = 0 5a + 0 = -3x + -3y 5a = -3x + -3y Divide each side by '5'. a = -0.6x + -0.6y Simplifying a = -0.6x + -0.6y
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