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Simplifying 13x + 7y + -2x + 6a = 0 Reorder the terms: 6a + 13x + -2x + 7y = 0 Combine like terms: 13x + -2x = 11x 6a + 11x + 7y = 0 Solving 6a + 11x + 7y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11x' to each side of the equation. 6a + 11x + -11x + 7y = 0 + -11x Combine like terms: 11x + -11x = 0 6a + 0 + 7y = 0 + -11x 6a + 7y = 0 + -11x Remove the zero: 6a + 7y = -11x Add '-7y' to each side of the equation. 6a + 7y + -7y = -11x + -7y Combine like terms: 7y + -7y = 0 6a + 0 = -11x + -7y 6a = -11x + -7y Divide each side by '6'. a = -1.833333333x + -1.166666667y Simplifying a = -1.833333333x + -1.166666667y
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