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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 = 5a -27 + 5a = 8 + 4a + -4a Combine like terms: 4a + -4a = 0 -27 + 5a = 8 + 0 -27 + 5a = 8 Add '27' to each side of the equation. -27 + 27 + 5a = 8 + 27 Combine like terms: -27 + 27 = 0 0 + 5a = 8 + 27 5a = 8 + 27 Combine like terms: 8 + 27 = 35 5a = 35 Divide each side by '5'. a = 7 Simplifying a = 7
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