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Simplifying 5a + 8(a + 8) = 5a + 8 Reorder the terms: 5a + 8(8 + a) = 5a + 8 5a + (8 * 8 + a * 8) = 5a + 8 5a + (64 + 8a) = 5a + 8 Reorder the terms: 64 + 5a + 8a = 5a + 8 Combine like terms: 5a + 8a = 13a 64 + 13a = 5a + 8 Reorder the terms: 64 + 13a = 8 + 5a Solving 64 + 13a = 8 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 64 + 13a + -5a = 8 + 5a + -5a Combine like terms: 13a + -5a = 8a 64 + 8a = 8 + 5a + -5a Combine like terms: 5a + -5a = 0 64 + 8a = 8 + 0 64 + 8a = 8 Add '-64' to each side of the equation. 64 + -64 + 8a = 8 + -64 Combine like terms: 64 + -64 = 0 0 + 8a = 8 + -64 8a = 8 + -64 Combine like terms: 8 + -64 = -56 8a = -56 Divide each side by '8'. a = -7 Simplifying a = -7
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