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Simplifying 9(4a + -2) = (3a + 8) Reorder the terms: 9(-2 + 4a) = (3a + 8) (-2 * 9 + 4a * 9) = (3a + 8) (-18 + 36a) = (3a + 8) Reorder the terms: -18 + 36a = (8 + 3a) Remove parenthesis around (8 + 3a) -18 + 36a = 8 + 3a Solving -18 + 36a = 8 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -18 + 36a + -3a = 8 + 3a + -3a Combine like terms: 36a + -3a = 33a -18 + 33a = 8 + 3a + -3a Combine like terms: 3a + -3a = 0 -18 + 33a = 8 + 0 -18 + 33a = 8 Add '18' to each side of the equation. -18 + 18 + 33a = 8 + 18 Combine like terms: -18 + 18 = 0 0 + 33a = 8 + 18 33a = 8 + 18 Combine like terms: 8 + 18 = 26 33a = 26 Divide each side by '33'. a = 0.7878787879 Simplifying a = 0.7878787879
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