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Simplifying 2a + 7 + 3a + -5 = a + 10 Reorder the terms: 7 + -5 + 2a + 3a = a + 10 Combine like terms: 7 + -5 = 2 2 + 2a + 3a = a + 10 Combine like terms: 2a + 3a = 5a 2 + 5a = a + 10 Reorder the terms: 2 + 5a = 10 + a Solving 2 + 5a = 10 + 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. 2 + 5a + -1a = 10 + a + -1a Combine like terms: 5a + -1a = 4a 2 + 4a = 10 + a + -1a Combine like terms: a + -1a = 0 2 + 4a = 10 + 0 2 + 4a = 10 Add '-2' to each side of the equation. 2 + -2 + 4a = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 4a = 10 + -2 4a = 10 + -2 Combine like terms: 10 + -2 = 8 4a = 8 Divide each side by '4'. a = 2 Simplifying a = 2
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