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Simplifying 4x + 6y + 9b + 20a = 43 Reorder the terms: 20a + 9b + 4x + 6y = 43 Solving 20a + 9b + 4x + 6y = 43 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. 20a + 9b + 4x + -9b + 6y = 43 + -9b Reorder the terms: 20a + 9b + -9b + 4x + 6y = 43 + -9b Combine like terms: 9b + -9b = 0 20a + 0 + 4x + 6y = 43 + -9b 20a + 4x + 6y = 43 + -9b Add '-4x' to each side of the equation. 20a + 4x + -4x + 6y = 43 + -9b + -4x Combine like terms: 4x + -4x = 0 20a + 0 + 6y = 43 + -9b + -4x 20a + 6y = 43 + -9b + -4x Add '-6y' to each side of the equation. 20a + 6y + -6y = 43 + -9b + -4x + -6y Combine like terms: 6y + -6y = 0 20a + 0 = 43 + -9b + -4x + -6y 20a = 43 + -9b + -4x + -6y Divide each side by '20'. a = 2.15 + -0.45b + -0.2x + -0.3y Simplifying a = 2.15 + -0.45b + -0.2x + -0.3y
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