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Simplifying 3a + 4x + 5y + 4a + 6x + 8y = 0 Reorder the terms: 3a + 4a + 4x + 6x + 5y + 8y = 0 Combine like terms: 3a + 4a = 7a 7a + 4x + 6x + 5y + 8y = 0 Combine like terms: 4x + 6x = 10x 7a + 10x + 5y + 8y = 0 Combine like terms: 5y + 8y = 13y 7a + 10x + 13y = 0 Solving 7a + 10x + 13y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10x' to each side of the equation. 7a + 10x + -10x + 13y = 0 + -10x Combine like terms: 10x + -10x = 0 7a + 0 + 13y = 0 + -10x 7a + 13y = 0 + -10x Remove the zero: 7a + 13y = -10x Add '-13y' to each side of the equation. 7a + 13y + -13y = -10x + -13y Combine like terms: 13y + -13y = 0 7a + 0 = -10x + -13y 7a = -10x + -13y Divide each side by '7'. a = -1.428571429x + -1.857142857y Simplifying a = -1.428571429x + -1.857142857y
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