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Simplifying -11 + 5a = 3(1 + a) -11 + 5a = (1 * 3 + a * 3) -11 + 5a = (3 + 3a) Solving -11 + 5a = 3 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -11 + 5a + -3a = 3 + 3a + -3a Combine like terms: 5a + -3a = 2a -11 + 2a = 3 + 3a + -3a Combine like terms: 3a + -3a = 0 -11 + 2a = 3 + 0 -11 + 2a = 3 Add '11' to each side of the equation. -11 + 11 + 2a = 3 + 11 Combine like terms: -11 + 11 = 0 0 + 2a = 3 + 11 2a = 3 + 11 Combine like terms: 3 + 11 = 14 2a = 14 Divide each side by '2'. a = 7 Simplifying a = 7
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