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Simplifying 12a + 3y + 6y + -3x = 0 Reorder the terms: 12a + -3x + 3y + 6y = 0 Combine like terms: 3y + 6y = 9y 12a + -3x + 9y = 0 Solving 12a + -3x + 9y = 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. 12a + -3x + 3x + 9y = 0 + 3x Combine like terms: -3x + 3x = 0 12a + 0 + 9y = 0 + 3x 12a + 9y = 0 + 3x Remove the zero: 12a + 9y = 3x Add '-9y' to each side of the equation. 12a + 9y + -9y = 3x + -9y Combine like terms: 9y + -9y = 0 12a + 0 = 3x + -9y 12a = 3x + -9y Divide each side by '12'. a = 0.25x + -0.75y Simplifying a = 0.25x + -0.75y
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