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Simplifying -3a + -8 + 7a = 34 + 9a + -2 Reorder the terms: -8 + -3a + 7a = 34 + 9a + -2 Combine like terms: -3a + 7a = 4a -8 + 4a = 34 + 9a + -2 Reorder the terms: -8 + 4a = 34 + -2 + 9a Combine like terms: 34 + -2 = 32 -8 + 4a = 32 + 9a Solving -8 + 4a = 32 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -8 + 4a + -9a = 32 + 9a + -9a Combine like terms: 4a + -9a = -5a -8 + -5a = 32 + 9a + -9a Combine like terms: 9a + -9a = 0 -8 + -5a = 32 + 0 -8 + -5a = 32 Add '8' to each side of the equation. -8 + 8 + -5a = 32 + 8 Combine like terms: -8 + 8 = 0 0 + -5a = 32 + 8 -5a = 32 + 8 Combine like terms: 32 + 8 = 40 -5a = 40 Divide each side by '-5'. a = -8 Simplifying a = -8
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