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Simplifying 2a + -9 + 3a + 1 = 4a + 2 + -3a + -5 Reorder the terms: -9 + 1 + 2a + 3a = 4a + 2 + -3a + -5 Combine like terms: -9 + 1 = -8 -8 + 2a + 3a = 4a + 2 + -3a + -5 Combine like terms: 2a + 3a = 5a -8 + 5a = 4a + 2 + -3a + -5 Reorder the terms: -8 + 5a = 2 + -5 + 4a + -3a Combine like terms: 2 + -5 = -3 -8 + 5a = -3 + 4a + -3a Combine like terms: 4a + -3a = 1a -8 + 5a = -3 + 1a Solving -8 + 5a = -3 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -8 + 5a + -1a = -3 + 1a + -1a Combine like terms: 5a + -1a = 4a -8 + 4a = -3 + 1a + -1a Combine like terms: 1a + -1a = 0 -8 + 4a = -3 + 0 -8 + 4a = -3 Add '8' to each side of the equation. -8 + 8 + 4a = -3 + 8 Combine like terms: -8 + 8 = 0 0 + 4a = -3 + 8 4a = -3 + 8 Combine like terms: -3 + 8 = 5 4a = 5 Divide each side by '4'. a = 1.25 Simplifying a = 1.25
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