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Simplifying 3a + -11 = 21 + a Reorder the terms: -11 + 3a = 21 + a Solving -11 + 3a = 21 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -11 + 3a + -1a = 21 + a + -1a Combine like terms: 3a + -1a = 2a -11 + 2a = 21 + a + -1a Combine like terms: a + -1a = 0 -11 + 2a = 21 + 0 -11 + 2a = 21 Add '11' to each side of the equation. -11 + 11 + 2a = 21 + 11 Combine like terms: -11 + 11 = 0 0 + 2a = 21 + 11 2a = 21 + 11 Combine like terms: 21 + 11 = 32 2a = 32 Divide each side by '2'. a = 16 Simplifying a = 16
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