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Simplifying 13 + 29 = 3a + -14 + 2a Combine like terms: 13 + 29 = 42 42 = 3a + -14 + 2a Reorder the terms: 42 = -14 + 3a + 2a Combine like terms: 3a + 2a = 5a 42 = -14 + 5a Solving 42 = -14 + 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. 42 + -5a = -14 + 5a + -5a Combine like terms: 5a + -5a = 0 42 + -5a = -14 + 0 42 + -5a = -14 Add '-42' to each side of the equation. 42 + -42 + -5a = -14 + -42 Combine like terms: 42 + -42 = 0 0 + -5a = -14 + -42 -5a = -14 + -42 Combine like terms: -14 + -42 = -56 -5a = -56 Divide each side by '-5'. a = 11.2 Simplifying a = 11.2
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