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Simplifying -3a + 48 + 8a = 2a + -9a Reorder the terms: 48 + -3a + 8a = 2a + -9a Combine like terms: -3a + 8a = 5a 48 + 5a = 2a + -9a Combine like terms: 2a + -9a = -7a 48 + 5a = -7a Solving 48 + 5a = -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 48 + 5a + 7a = -7a + 7a Combine like terms: 5a + 7a = 12a 48 + 12a = -7a + 7a Combine like terms: -7a + 7a = 0 48 + 12a = 0 Add '-48' to each side of the equation. 48 + -48 + 12a = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 12a = 0 + -48 12a = 0 + -48 Combine like terms: 0 + -48 = -48 12a = -48 Divide each side by '12'. a = -4 Simplifying a = -4
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