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Simplifying 7(3a + 6) = 9(2a + -4) Reorder the terms: 7(6 + 3a) = 9(2a + -4) (6 * 7 + 3a * 7) = 9(2a + -4) (42 + 21a) = 9(2a + -4) Reorder the terms: 42 + 21a = 9(-4 + 2a) 42 + 21a = (-4 * 9 + 2a * 9) 42 + 21a = (-36 + 18a) Solving 42 + 21a = -36 + 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. 42 + 21a + -18a = -36 + 18a + -18a Combine like terms: 21a + -18a = 3a 42 + 3a = -36 + 18a + -18a Combine like terms: 18a + -18a = 0 42 + 3a = -36 + 0 42 + 3a = -36 Add '-42' to each side of the equation. 42 + -42 + 3a = -36 + -42 Combine like terms: 42 + -42 = 0 0 + 3a = -36 + -42 3a = -36 + -42 Combine like terms: -36 + -42 = -78 3a = -78 Divide each side by '3'. a = -26 Simplifying a = -26
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