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Simplifying -3(4a + 3) + 4(6a + 1) = 31 Reorder the terms: -3(3 + 4a) + 4(6a + 1) = 31 (3 * -3 + 4a * -3) + 4(6a + 1) = 31 (-9 + -12a) + 4(6a + 1) = 31 Reorder the terms: -9 + -12a + 4(1 + 6a) = 31 -9 + -12a + (1 * 4 + 6a * 4) = 31 -9 + -12a + (4 + 24a) = 31 Reorder the terms: -9 + 4 + -12a + 24a = 31 Combine like terms: -9 + 4 = -5 -5 + -12a + 24a = 31 Combine like terms: -12a + 24a = 12a -5 + 12a = 31 Solving -5 + 12a = 31 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 12a = 31 + 5 Combine like terms: -5 + 5 = 0 0 + 12a = 31 + 5 12a = 31 + 5 Combine like terms: 31 + 5 = 36 12a = 36 Divide each side by '12'. a = 3 Simplifying a = 3
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