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Simplifying 4(2 + 2a) + 8(7 + 5a) = 16 (2 * 4 + 2a * 4) + 8(7 + 5a) = 16 (8 + 8a) + 8(7 + 5a) = 16 8 + 8a + (7 * 8 + 5a * 8) = 16 8 + 8a + (56 + 40a) = 16 Reorder the terms: 8 + 56 + 8a + 40a = 16 Combine like terms: 8 + 56 = 64 64 + 8a + 40a = 16 Combine like terms: 8a + 40a = 48a 64 + 48a = 16 Solving 64 + 48a = 16 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 48a = 16 + -64 Combine like terms: 64 + -64 = 0 0 + 48a = 16 + -64 48a = 16 + -64 Combine like terms: 16 + -64 = -48 48a = -48 Divide each side by '48'. a = -1 Simplifying a = -1
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