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Simplifying 5a + 7 + -1a = 2a + 15 Reorder the terms: 7 + 5a + -1a = 2a + 15 Combine like terms: 5a + -1a = 4a 7 + 4a = 2a + 15 Reorder the terms: 7 + 4a = 15 + 2a Solving 7 + 4a = 15 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 7 + 4a + -2a = 15 + 2a + -2a Combine like terms: 4a + -2a = 2a 7 + 2a = 15 + 2a + -2a Combine like terms: 2a + -2a = 0 7 + 2a = 15 + 0 7 + 2a = 15 Add '-7' to each side of the equation. 7 + -7 + 2a = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 2a = 15 + -7 2a = 15 + -7 Combine like terms: 15 + -7 = 8 2a = 8 Divide each side by '2'. a = 4 Simplifying a = 4
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