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Simplifying 45 + 2a + -10 + 3a = a + 25 Reorder the terms: 45 + -10 + 2a + 3a = a + 25 Combine like terms: 45 + -10 = 35 35 + 2a + 3a = a + 25 Combine like terms: 2a + 3a = 5a 35 + 5a = a + 25 Reorder the terms: 35 + 5a = 25 + a Solving 35 + 5a = 25 + a 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. 35 + 5a + -1a = 25 + a + -1a Combine like terms: 5a + -1a = 4a 35 + 4a = 25 + a + -1a Combine like terms: a + -1a = 0 35 + 4a = 25 + 0 35 + 4a = 25 Add '-35' to each side of the equation. 35 + -35 + 4a = 25 + -35 Combine like terms: 35 + -35 = 0 0 + 4a = 25 + -35 4a = 25 + -35 Combine like terms: 25 + -35 = -10 4a = -10 Divide each side by '4'. a = -2.5 Simplifying a = -2.5
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