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Simplifying 2a + 3(2a + 5) = 2a + 5 Reorder the terms: 2a + 3(5 + 2a) = 2a + 5 2a + (5 * 3 + 2a * 3) = 2a + 5 2a + (15 + 6a) = 2a + 5 Reorder the terms: 15 + 2a + 6a = 2a + 5 Combine like terms: 2a + 6a = 8a 15 + 8a = 2a + 5 Reorder the terms: 15 + 8a = 5 + 2a Solving 15 + 8a = 5 + 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. 15 + 8a + -2a = 5 + 2a + -2a Combine like terms: 8a + -2a = 6a 15 + 6a = 5 + 2a + -2a Combine like terms: 2a + -2a = 0 15 + 6a = 5 + 0 15 + 6a = 5 Add '-15' to each side of the equation. 15 + -15 + 6a = 5 + -15 Combine like terms: 15 + -15 = 0 0 + 6a = 5 + -15 6a = 5 + -15 Combine like terms: 5 + -15 = -10 6a = -10 Divide each side by '6'. a = -1.666666667 Simplifying a = -1.666666667
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