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Simplifying 2(5a + 3) = 8a + 10 Reorder the terms: 2(3 + 5a) = 8a + 10 (3 * 2 + 5a * 2) = 8a + 10 (6 + 10a) = 8a + 10 Reorder the terms: 6 + 10a = 10 + 8a Solving 6 + 10a = 10 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 6 + 10a + -8a = 10 + 8a + -8a Combine like terms: 10a + -8a = 2a 6 + 2a = 10 + 8a + -8a Combine like terms: 8a + -8a = 0 6 + 2a = 10 + 0 6 + 2a = 10 Add '-6' to each side of the equation. 6 + -6 + 2a = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 2a = 10 + -6 2a = 10 + -6 Combine like terms: 10 + -6 = 4 2a = 4 Divide each side by '2'. a = 2 Simplifying a = 2
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