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Simplifying 2a + 3x + -3a + 7xy + 6a + -2b = 0 Reorder the terms: 2a + -3a + 6a + -2b + 3x + 7xy = 0 Combine like terms: 2a + -3a = -1a -1a + 6a + -2b + 3x + 7xy = 0 Combine like terms: -1a + 6a = 5a 5a + -2b + 3x + 7xy = 0 Solving 5a + -2b + 3x + 7xy = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. 5a + -2b + 3x + 2b + 7xy = 0 + 2b Reorder the terms: 5a + -2b + 2b + 3x + 7xy = 0 + 2b Combine like terms: -2b + 2b = 0 5a + 0 + 3x + 7xy = 0 + 2b 5a + 3x + 7xy = 0 + 2b Remove the zero: 5a + 3x + 7xy = 2b Add '-3x' to each side of the equation. 5a + 3x + -3x + 7xy = 2b + -3x Combine like terms: 3x + -3x = 0 5a + 0 + 7xy = 2b + -3x 5a + 7xy = 2b + -3x Add '-7xy' to each side of the equation. 5a + 7xy + -7xy = 2b + -3x + -7xy Combine like terms: 7xy + -7xy = 0 5a + 0 = 2b + -3x + -7xy 5a = 2b + -3x + -7xy Divide each side by '5'. a = 0.4b + -0.6x + -1.4xy Simplifying a = 0.4b + -0.6x + -1.4xy
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