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Simplifying 7(a + 4) = 9(2a + 6) Reorder the terms: 7(4 + a) = 9(2a + 6) (4 * 7 + a * 7) = 9(2a + 6) (28 + 7a) = 9(2a + 6) Reorder the terms: 28 + 7a = 9(6 + 2a) 28 + 7a = (6 * 9 + 2a * 9) 28 + 7a = (54 + 18a) Solving 28 + 7a = 54 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. 28 + 7a + -18a = 54 + 18a + -18a Combine like terms: 7a + -18a = -11a 28 + -11a = 54 + 18a + -18a Combine like terms: 18a + -18a = 0 28 + -11a = 54 + 0 28 + -11a = 54 Add '-28' to each side of the equation. 28 + -28 + -11a = 54 + -28 Combine like terms: 28 + -28 = 0 0 + -11a = 54 + -28 -11a = 54 + -28 Combine like terms: 54 + -28 = 26 -11a = 26 Divide each side by '-11'. a = -2.363636364 Simplifying a = -2.363636364
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