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Simplifying 3a + 15 + 2a = -4a + -21 Reorder the terms: 15 + 3a + 2a = -4a + -21 Combine like terms: 3a + 2a = 5a 15 + 5a = -4a + -21 Reorder the terms: 15 + 5a = -21 + -4a Solving 15 + 5a = -21 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 15 + 5a + 4a = -21 + -4a + 4a Combine like terms: 5a + 4a = 9a 15 + 9a = -21 + -4a + 4a Combine like terms: -4a + 4a = 0 15 + 9a = -21 + 0 15 + 9a = -21 Add '-15' to each side of the equation. 15 + -15 + 9a = -21 + -15 Combine like terms: 15 + -15 = 0 0 + 9a = -21 + -15 9a = -21 + -15 Combine like terms: -21 + -15 = -36 9a = -36 Divide each side by '9'. a = -4 Simplifying a = -4
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