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Simplifying 9(3a + -4) = 13(2a + -1) Reorder the terms: 9(-4 + 3a) = 13(2a + -1) (-4 * 9 + 3a * 9) = 13(2a + -1) (-36 + 27a) = 13(2a + -1) Reorder the terms: -36 + 27a = 13(-1 + 2a) -36 + 27a = (-1 * 13 + 2a * 13) -36 + 27a = (-13 + 26a) Solving -36 + 27a = -13 + 26a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-26a' to each side of the equation. -36 + 27a + -26a = -13 + 26a + -26a Combine like terms: 27a + -26a = 1a -36 + 1a = -13 + 26a + -26a Combine like terms: 26a + -26a = 0 -36 + 1a = -13 + 0 -36 + 1a = -13 Add '36' to each side of the equation. -36 + 36 + 1a = -13 + 36 Combine like terms: -36 + 36 = 0 0 + 1a = -13 + 36 1a = -13 + 36 Combine like terms: -13 + 36 = 23 1a = 23 Divide each side by '1'. a = 23 Simplifying a = 23
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