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Simplifying 6a + 3(4a + -5) = 12 Reorder the terms: 6a + 3(-5 + 4a) = 12 6a + (-5 * 3 + 4a * 3) = 12 6a + (-15 + 12a) = 12 Reorder the terms: -15 + 6a + 12a = 12 Combine like terms: 6a + 12a = 18a -15 + 18a = 12 Solving -15 + 18a = 12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 18a = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 18a = 12 + 15 18a = 12 + 15 Combine like terms: 12 + 15 = 27 18a = 27 Divide each side by '18'. a = 1.5 Simplifying a = 1.5
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