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Simplifying (8a + 3x + 6y) + (4a + -5x + 7y) = 0 Remove parenthesis around (8a + 3x + 6y) 8a + 3x + 6y + (4a + -5x + 7y) = 0 Remove parenthesis around (4a + -5x + 7y) 8a + 3x + 6y + 4a + -5x + 7y = 0 Reorder the terms: 8a + 4a + 3x + -5x + 6y + 7y = 0 Combine like terms: 8a + 4a = 12a 12a + 3x + -5x + 6y + 7y = 0 Combine like terms: 3x + -5x = -2x 12a + -2x + 6y + 7y = 0 Combine like terms: 6y + 7y = 13y 12a + -2x + 13y = 0 Solving 12a + -2x + 13y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2x' to each side of the equation. 12a + -2x + 2x + 13y = 0 + 2x Combine like terms: -2x + 2x = 0 12a + 0 + 13y = 0 + 2x 12a + 13y = 0 + 2x Remove the zero: 12a + 13y = 2x Add '-13y' to each side of the equation. 12a + 13y + -13y = 2x + -13y Combine like terms: 13y + -13y = 0 12a + 0 = 2x + -13y 12a = 2x + -13y Divide each side by '12'. a = 0.1666666667x + -1.083333333y Simplifying a = 0.1666666667x + -1.083333333y
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