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Simplifying 8(8a + 5) = 2a + 1 Reorder the terms: 8(5 + 8a) = 2a + 1 (5 * 8 + 8a * 8) = 2a + 1 (40 + 64a) = 2a + 1 Reorder the terms: 40 + 64a = 1 + 2a Solving 40 + 64a = 1 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 40 + 64a + -2a = 1 + 2a + -2a Combine like terms: 64a + -2a = 62a 40 + 62a = 1 + 2a + -2a Combine like terms: 2a + -2a = 0 40 + 62a = 1 + 0 40 + 62a = 1 Add '-40' to each side of the equation. 40 + -40 + 62a = 1 + -40 Combine like terms: 40 + -40 = 0 0 + 62a = 1 + -40 62a = 1 + -40 Combine like terms: 1 + -40 = -39 62a = -39 Divide each side by '62'. a = -0.6290322581 Simplifying a = -0.6290322581
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