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Simplifying 2(4a + -9) + 3 = 5a + -1b Reorder the terms: 2(-9 + 4a) + 3 = 5a + -1b (-9 * 2 + 4a * 2) + 3 = 5a + -1b (-18 + 8a) + 3 = 5a + -1b Reorder the terms: -18 + 3 + 8a = 5a + -1b Combine like terms: -18 + 3 = -15 -15 + 8a = 5a + -1b Solving -15 + 8a = 5a + -1b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -15 + 8a + -5a = 5a + -5a + -1b Combine like terms: 8a + -5a = 3a -15 + 3a = 5a + -5a + -1b Combine like terms: 5a + -5a = 0 -15 + 3a = 0 + -1b -15 + 3a = -1b Add '15' to each side of the equation. -15 + 15 + 3a = 15 + -1b Combine like terms: -15 + 15 = 0 0 + 3a = 15 + -1b 3a = 15 + -1b Divide each side by '3'. a = 5 + -0.3333333333b Simplifying a = 5 + -0.3333333333b
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