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Simplifying 9(2a + -4) = 6(a + 2) Reorder the terms: 9(-4 + 2a) = 6(a + 2) (-4 * 9 + 2a * 9) = 6(a + 2) (-36 + 18a) = 6(a + 2) Reorder the terms: -36 + 18a = 6(2 + a) -36 + 18a = (2 * 6 + a * 6) -36 + 18a = (12 + 6a) Solving -36 + 18a = 12 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -36 + 18a + -6a = 12 + 6a + -6a Combine like terms: 18a + -6a = 12a -36 + 12a = 12 + 6a + -6a Combine like terms: 6a + -6a = 0 -36 + 12a = 12 + 0 -36 + 12a = 12 Add '36' to each side of the equation. -36 + 36 + 12a = 12 + 36 Combine like terms: -36 + 36 = 0 0 + 12a = 12 + 36 12a = 12 + 36 Combine like terms: 12 + 36 = 48 12a = 48 Divide each side by '12'. a = 4 Simplifying a = 4
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