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Simplifying -2(6a + 3) + 4(4a + 6) = 50 Reorder the terms: -2(3 + 6a) + 4(4a + 6) = 50 (3 * -2 + 6a * -2) + 4(4a + 6) = 50 (-6 + -12a) + 4(4a + 6) = 50 Reorder the terms: -6 + -12a + 4(6 + 4a) = 50 -6 + -12a + (6 * 4 + 4a * 4) = 50 -6 + -12a + (24 + 16a) = 50 Reorder the terms: -6 + 24 + -12a + 16a = 50 Combine like terms: -6 + 24 = 18 18 + -12a + 16a = 50 Combine like terms: -12a + 16a = 4a 18 + 4a = 50 Solving 18 + 4a = 50 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 4a = 50 + -18 Combine like terms: 18 + -18 = 0 0 + 4a = 50 + -18 4a = 50 + -18 Combine like terms: 50 + -18 = 32 4a = 32 Divide each side by '4'. a = 8 Simplifying a = 8
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