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Simplifying 8(3a + -8) + -4(2a + 4) = 16 Reorder the terms: 8(-8 + 3a) + -4(2a + 4) = 16 (-8 * 8 + 3a * 8) + -4(2a + 4) = 16 (-64 + 24a) + -4(2a + 4) = 16 Reorder the terms: -64 + 24a + -4(4 + 2a) = 16 -64 + 24a + (4 * -4 + 2a * -4) = 16 -64 + 24a + (-16 + -8a) = 16 Reorder the terms: -64 + -16 + 24a + -8a = 16 Combine like terms: -64 + -16 = -80 -80 + 24a + -8a = 16 Combine like terms: 24a + -8a = 16a -80 + 16a = 16 Solving -80 + 16a = 16 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + 16a = 16 + 80 Combine like terms: -80 + 80 = 0 0 + 16a = 16 + 80 16a = 16 + 80 Combine like terms: 16 + 80 = 96 16a = 96 Divide each side by '16'. a = 6 Simplifying a = 6
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