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Simplifying 10a + 5(2a + 1) = 65 Reorder the terms: 10a + 5(1 + 2a) = 65 10a + (1 * 5 + 2a * 5) = 65 10a + (5 + 10a) = 65 Reorder the terms: 5 + 10a + 10a = 65 Combine like terms: 10a + 10a = 20a 5 + 20a = 65 Solving 5 + 20a = 65 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 20a = 65 + -5 Combine like terms: 5 + -5 = 0 0 + 20a = 65 + -5 20a = 65 + -5 Combine like terms: 65 + -5 = 60 20a = 60 Divide each side by '20'. a = 3 Simplifying a = 3
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