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Simplifying 11 + 3(a + 1) = 5a + 16 Reorder the terms: 11 + 3(1 + a) = 5a + 16 11 + (1 * 3 + a * 3) = 5a + 16 11 + (3 + 3a) = 5a + 16 Combine like terms: 11 + 3 = 14 14 + 3a = 5a + 16 Reorder the terms: 14 + 3a = 16 + 5a Solving 14 + 3a = 16 + 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. 14 + 3a + -5a = 16 + 5a + -5a Combine like terms: 3a + -5a = -2a 14 + -2a = 16 + 5a + -5a Combine like terms: 5a + -5a = 0 14 + -2a = 16 + 0 14 + -2a = 16 Add '-14' to each side of the equation. 14 + -14 + -2a = 16 + -14 Combine like terms: 14 + -14 = 0 0 + -2a = 16 + -14 -2a = 16 + -14 Combine like terms: 16 + -14 = 2 -2a = 2 Divide each side by '-2'. a = -1 Simplifying a = -1
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