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Simplifying 4(1 + 8a) + 6(-3 + 8a) = -14 (1 * 4 + 8a * 4) + 6(-3 + 8a) = -14 (4 + 32a) + 6(-3 + 8a) = -14 4 + 32a + (-3 * 6 + 8a * 6) = -14 4 + 32a + (-18 + 48a) = -14 Reorder the terms: 4 + -18 + 32a + 48a = -14 Combine like terms: 4 + -18 = -14 -14 + 32a + 48a = -14 Combine like terms: 32a + 48a = 80a -14 + 80a = -14 Add '14' to each side of the equation. -14 + 14 + 80a = -14 + 14 Combine like terms: -14 + 14 = 0 0 + 80a = -14 + 14 80a = -14 + 14 Combine like terms: -14 + 14 = 0 80a = 0 Solving 80a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '80'. a = 0.0 Simplifying a = 0.0
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