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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 = 4a -9 + 4a = 21 + 3a + -3a Combine like terms: 3a + -3a = 0 -9 + 4a = 21 + 0 -9 + 4a = 21 Add '9' to each side of the equation. -9 + 9 + 4a = 21 + 9 Combine like terms: -9 + 9 = 0 0 + 4a = 21 + 9 4a = 21 + 9 Combine like terms: 21 + 9 = 30 4a = 30 Divide each side by '4'. a = 7.5 Simplifying a = 7.5
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