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Simplifying 8(3a + -52) + -4(2a + 3) = 12 Reorder the terms: 8(-52 + 3a) + -4(2a + 3) = 12 (-52 * 8 + 3a * 8) + -4(2a + 3) = 12 (-416 + 24a) + -4(2a + 3) = 12 Reorder the terms: -416 + 24a + -4(3 + 2a) = 12 -416 + 24a + (3 * -4 + 2a * -4) = 12 -416 + 24a + (-12 + -8a) = 12 Reorder the terms: -416 + -12 + 24a + -8a = 12 Combine like terms: -416 + -12 = -428 -428 + 24a + -8a = 12 Combine like terms: 24a + -8a = 16a -428 + 16a = 12 Solving -428 + 16a = 12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '428' to each side of the equation. -428 + 428 + 16a = 12 + 428 Combine like terms: -428 + 428 = 0 0 + 16a = 12 + 428 16a = 12 + 428 Combine like terms: 12 + 428 = 440 16a = 440 Divide each side by '16'. a = 27.5 Simplifying a = 27.5
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