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Simplifying 9(a + -3) = -4(a + 2) Reorder the terms: 9(-3 + a) = -4(a + 2) (-3 * 9 + a * 9) = -4(a + 2) (-27 + 9a) = -4(a + 2) Reorder the terms: -27 + 9a = -4(2 + a) -27 + 9a = (2 * -4 + a * -4) -27 + 9a = (-8 + -4a) Solving -27 + 9a = -8 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -27 + 9a + 4a = -8 + -4a + 4a Combine like terms: 9a + 4a = 13a -27 + 13a = -8 + -4a + 4a Combine like terms: -4a + 4a = 0 -27 + 13a = -8 + 0 -27 + 13a = -8 Add '27' to each side of the equation. -27 + 27 + 13a = -8 + 27 Combine like terms: -27 + 27 = 0 0 + 13a = -8 + 27 13a = -8 + 27 Combine like terms: -8 + 27 = 19 13a = 19 Divide each side by '13'. a = 1.461538462 Simplifying a = 1.461538462
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