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Simplifying 4(2a + 1) = 2(a + 2) + 5 Reorder the terms: 4(1 + 2a) = 2(a + 2) + 5 (1 * 4 + 2a * 4) = 2(a + 2) + 5 (4 + 8a) = 2(a + 2) + 5 Reorder the terms: 4 + 8a = 2(2 + a) + 5 4 + 8a = (2 * 2 + a * 2) + 5 4 + 8a = (4 + 2a) + 5 Reorder the terms: 4 + 8a = 4 + 5 + 2a Combine like terms: 4 + 5 = 9 4 + 8a = 9 + 2a Solving 4 + 8a = 9 + 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. 4 + 8a + -2a = 9 + 2a + -2a Combine like terms: 8a + -2a = 6a 4 + 6a = 9 + 2a + -2a Combine like terms: 2a + -2a = 0 4 + 6a = 9 + 0 4 + 6a = 9 Add '-4' to each side of the equation. 4 + -4 + 6a = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 6a = 9 + -4 6a = 9 + -4 Combine like terms: 9 + -4 = 5 6a = 5 Divide each side by '6'. a = 0.8333333333 Simplifying a = 0.8333333333
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