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Simplifying 2(a + 9) = 7a + 6(8a + 3) Reorder the terms: 2(9 + a) = 7a + 6(8a + 3) (9 * 2 + a * 2) = 7a + 6(8a + 3) (18 + 2a) = 7a + 6(8a + 3) Reorder the terms: 18 + 2a = 7a + 6(3 + 8a) 18 + 2a = 7a + (3 * 6 + 8a * 6) 18 + 2a = 7a + (18 + 48a) Reorder the terms: 18 + 2a = 18 + 7a + 48a Combine like terms: 7a + 48a = 55a 18 + 2a = 18 + 55a Add '-18' to each side of the equation. 18 + -18 + 2a = 18 + -18 + 55a Combine like terms: 18 + -18 = 0 0 + 2a = 18 + -18 + 55a 2a = 18 + -18 + 55a Combine like terms: 18 + -18 = 0 2a = 0 + 55a 2a = 55a Solving 2a = 55a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-55a' to each side of the equation. 2a + -55a = 55a + -55a Combine like terms: 2a + -55a = -53a -53a = 55a + -55a Combine like terms: 55a + -55a = 0 -53a = 0 Divide each side by '-53'. a = 0 Simplifying a = 0
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