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Simplifying 5(8 + -9a) = 9(9 + 6a) (8 * 5 + -9a * 5) = 9(9 + 6a) (40 + -45a) = 9(9 + 6a) 40 + -45a = (9 * 9 + 6a * 9) 40 + -45a = (81 + 54a) Solving 40 + -45a = 81 + 54a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-54a' to each side of the equation. 40 + -45a + -54a = 81 + 54a + -54a Combine like terms: -45a + -54a = -99a 40 + -99a = 81 + 54a + -54a Combine like terms: 54a + -54a = 0 40 + -99a = 81 + 0 40 + -99a = 81 Add '-40' to each side of the equation. 40 + -40 + -99a = 81 + -40 Combine like terms: 40 + -40 = 0 0 + -99a = 81 + -40 -99a = 81 + -40 Combine like terms: 81 + -40 = 41 -99a = 41 Divide each side by '-99'. a = -0.4141414141 Simplifying a = -0.4141414141
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