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Simplifying -8(1 + 3a) + -9(1a + -2) = 0 (1 * -8 + 3a * -8) + -9(1a + -2) = 0 (-8 + -24a) + -9(1a + -2) = 0 Reorder the terms: -8 + -24a + -9(-2 + 1a) = 0 -8 + -24a + (-2 * -9 + 1a * -9) = 0 -8 + -24a + (18 + -9a) = 0 Reorder the terms: -8 + 18 + -24a + -9a = 0 Combine like terms: -8 + 18 = 10 10 + -24a + -9a = 0 Combine like terms: -24a + -9a = -33a 10 + -33a = 0 Solving 10 + -33a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -33a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -33a = 0 + -10 -33a = 0 + -10 Combine like terms: 0 + -10 = -10 -33a = -10 Divide each side by '-33'. a = 0.303030303 Simplifying a = 0.303030303
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