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Simplifying 4(2a + 3) + -2(a + 4) = 8 Reorder the terms: 4(3 + 2a) + -2(a + 4) = 8 (3 * 4 + 2a * 4) + -2(a + 4) = 8 (12 + 8a) + -2(a + 4) = 8 Reorder the terms: 12 + 8a + -2(4 + a) = 8 12 + 8a + (4 * -2 + a * -2) = 8 12 + 8a + (-8 + -2a) = 8 Reorder the terms: 12 + -8 + 8a + -2a = 8 Combine like terms: 12 + -8 = 4 4 + 8a + -2a = 8 Combine like terms: 8a + -2a = 6a 4 + 6a = 8 Solving 4 + 6a = 8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 6a = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 6a = 8 + -4 6a = 8 + -4 Combine like terms: 8 + -4 = 4 6a = 4 Divide each side by '6'. a = 0.6666666667 Simplifying a = 0.6666666667
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