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Simplifying 119 = 2(6a + 7) + 3a Reorder the terms: 119 = 2(7 + 6a) + 3a 119 = (7 * 2 + 6a * 2) + 3a 119 = (14 + 12a) + 3a Combine like terms: 12a + 3a = 15a 119 = 14 + 15a Solving 119 = 14 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 119 + -15a = 14 + 15a + -15a Combine like terms: 15a + -15a = 0 119 + -15a = 14 + 0 119 + -15a = 14 Add '-119' to each side of the equation. 119 + -119 + -15a = 14 + -119 Combine like terms: 119 + -119 = 0 0 + -15a = 14 + -119 -15a = 14 + -119 Combine like terms: 14 + -119 = -105 -15a = -105 Divide each side by '-15'. a = 7 Simplifying a = 7
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