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Simplifying 9(2a + 7) = 3(4a + -3) Reorder the terms: 9(7 + 2a) = 3(4a + -3) (7 * 9 + 2a * 9) = 3(4a + -3) (63 + 18a) = 3(4a + -3) Reorder the terms: 63 + 18a = 3(-3 + 4a) 63 + 18a = (-3 * 3 + 4a * 3) 63 + 18a = (-9 + 12a) Solving 63 + 18a = -9 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 63 + 18a + -12a = -9 + 12a + -12a Combine like terms: 18a + -12a = 6a 63 + 6a = -9 + 12a + -12a Combine like terms: 12a + -12a = 0 63 + 6a = -9 + 0 63 + 6a = -9 Add '-63' to each side of the equation. 63 + -63 + 6a = -9 + -63 Combine like terms: 63 + -63 = 0 0 + 6a = -9 + -63 6a = -9 + -63 Combine like terms: -9 + -63 = -72 6a = -72 Divide each side by '6'. a = -12 Simplifying a = -12
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