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Simplifying -3(-2a + 3) + 4(6a + 1) = 55 Reorder the terms: -3(3 + -2a) + 4(6a + 1) = 55 (3 * -3 + -2a * -3) + 4(6a + 1) = 55 (-9 + 6a) + 4(6a + 1) = 55 Reorder the terms: -9 + 6a + 4(1 + 6a) = 55 -9 + 6a + (1 * 4 + 6a * 4) = 55 -9 + 6a + (4 + 24a) = 55 Reorder the terms: -9 + 4 + 6a + 24a = 55 Combine like terms: -9 + 4 = -5 -5 + 6a + 24a = 55 Combine like terms: 6a + 24a = 30a -5 + 30a = 55 Solving -5 + 30a = 55 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 + 30a = 55 + 5 Combine like terms: -5 + 5 = 0 0 + 30a = 55 + 5 30a = 55 + 5 Combine like terms: 55 + 5 = 60 30a = 60 Divide each side by '30'. a = 2 Simplifying a = 2
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