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Simplifying 11 + 3a = 7(7 + -5a) 11 + 3a = (7 * 7 + -5a * 7) 11 + 3a = (49 + -35a) Solving 11 + 3a = 49 + -35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '35a' to each side of the equation. 11 + 3a + 35a = 49 + -35a + 35a Combine like terms: 3a + 35a = 38a 11 + 38a = 49 + -35a + 35a Combine like terms: -35a + 35a = 0 11 + 38a = 49 + 0 11 + 38a = 49 Add '-11' to each side of the equation. 11 + -11 + 38a = 49 + -11 Combine like terms: 11 + -11 = 0 0 + 38a = 49 + -11 38a = 49 + -11 Combine like terms: 49 + -11 = 38 38a = 38 Divide each side by '38'. a = 1 Simplifying a = 1
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