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Simplifying 12(4a + -3) + 6(2a + -4) = 60 Reorder the terms: 12(-3 + 4a) + 6(2a + -4) = 60 (-3 * 12 + 4a * 12) + 6(2a + -4) = 60 (-36 + 48a) + 6(2a + -4) = 60 Reorder the terms: -36 + 48a + 6(-4 + 2a) = 60 -36 + 48a + (-4 * 6 + 2a * 6) = 60 -36 + 48a + (-24 + 12a) = 60 Reorder the terms: -36 + -24 + 48a + 12a = 60 Combine like terms: -36 + -24 = -60 -60 + 48a + 12a = 60 Combine like terms: 48a + 12a = 60a -60 + 60a = 60 Solving -60 + 60a = 60 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 60a = 60 + 60 Combine like terms: -60 + 60 = 0 0 + 60a = 60 + 60 60a = 60 + 60 Combine like terms: 60 + 60 = 120 60a = 120 Divide each side by '60'. a = 2 Simplifying a = 2
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