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Simplifying 11a + -9 + -4a = -3a + 21 Reorder the terms: -9 + 11a + -4a = -3a + 21 Combine like terms: 11a + -4a = 7a -9 + 7a = -3a + 21 Reorder the terms: -9 + 7a = 21 + -3a Solving -9 + 7a = 21 + -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. -9 + 7a + 3a = 21 + -3a + 3a Combine like terms: 7a + 3a = 10a -9 + 10a = 21 + -3a + 3a Combine like terms: -3a + 3a = 0 -9 + 10a = 21 + 0 -9 + 10a = 21 Add '9' to each side of the equation. -9 + 9 + 10a = 21 + 9 Combine like terms: -9 + 9 = 0 0 + 10a = 21 + 9 10a = 21 + 9 Combine like terms: 21 + 9 = 30 10a = 30 Divide each side by '10'. a = 3 Simplifying a = 3
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