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Simplifying 6x + -5y + 7a = 0 Reorder the terms: 7a + 6x + -5y = 0 Solving 7a + 6x + -5y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6x' to each side of the equation. 7a + 6x + -6x + -5y = 0 + -6x Combine like terms: 6x + -6x = 0 7a + 0 + -5y = 0 + -6x 7a + -5y = 0 + -6x Remove the zero: 7a + -5y = -6x Add '5y' to each side of the equation. 7a + -5y + 5y = -6x + 5y Combine like terms: -5y + 5y = 0 7a + 0 = -6x + 5y 7a = -6x + 5y Divide each side by '7'. a = -0.8571428571x + 0.7142857143y Simplifying a = -0.8571428571x + 0.7142857143y
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