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Simplifying 10 + 2a + 11 = 11a + -9 + -3a Reorder the terms: 10 + 11 + 2a = 11a + -9 + -3a Combine like terms: 10 + 11 = 21 21 + 2a = 11a + -9 + -3a Reorder the terms: 21 + 2a = -9 + 11a + -3a Combine like terms: 11a + -3a = 8a 21 + 2a = -9 + 8a Solving 21 + 2a = -9 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 21 + 2a + -8a = -9 + 8a + -8a Combine like terms: 2a + -8a = -6a 21 + -6a = -9 + 8a + -8a Combine like terms: 8a + -8a = 0 21 + -6a = -9 + 0 21 + -6a = -9 Add '-21' to each side of the equation. 21 + -21 + -6a = -9 + -21 Combine like terms: 21 + -21 = 0 0 + -6a = -9 + -21 -6a = -9 + -21 Combine like terms: -9 + -21 = -30 -6a = -30 Divide each side by '-6'. a = 5 Simplifying a = 5
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