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Simplifying 10a + (2a + 1) = 5a + 2 Reorder the terms: 10a + (1 + 2a) = 5a + 2 Remove parenthesis around (1 + 2a) 10a + 1 + 2a = 5a + 2 Reorder the terms: 1 + 10a + 2a = 5a + 2 Combine like terms: 10a + 2a = 12a 1 + 12a = 5a + 2 Reorder the terms: 1 + 12a = 2 + 5a Solving 1 + 12a = 2 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 1 + 12a + -5a = 2 + 5a + -5a Combine like terms: 12a + -5a = 7a 1 + 7a = 2 + 5a + -5a Combine like terms: 5a + -5a = 0 1 + 7a = 2 + 0 1 + 7a = 2 Add '-1' to each side of the equation. 1 + -1 + 7a = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 7a = 2 + -1 7a = 2 + -1 Combine like terms: 2 + -1 = 1 7a = 1 Divide each side by '7'. a = 0.1428571429 Simplifying a = 0.1428571429
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