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Simplifying 6(3a + -4) = 3(2a + 4) Reorder the terms: 6(-4 + 3a) = 3(2a + 4) (-4 * 6 + 3a * 6) = 3(2a + 4) (-24 + 18a) = 3(2a + 4) Reorder the terms: -24 + 18a = 3(4 + 2a) -24 + 18a = (4 * 3 + 2a * 3) -24 + 18a = (12 + 6a) Solving -24 + 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. -24 + 18a + -6a = 12 + 6a + -6a Combine like terms: 18a + -6a = 12a -24 + 12a = 12 + 6a + -6a Combine like terms: 6a + -6a = 0 -24 + 12a = 12 + 0 -24 + 12a = 12 Add '24' to each side of the equation. -24 + 24 + 12a = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 12a = 12 + 24 12a = 12 + 24 Combine like terms: 12 + 24 = 36 12a = 36 Divide each side by '12'. a = 3 Simplifying a = 3
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