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Simplifying 5a + 3 + -2 + -1a = 7 + -2a + 3 Reorder the terms: 3 + -2 + 5a + -1a = 7 + -2a + 3 Combine like terms: 3 + -2 = 1 1 + 5a + -1a = 7 + -2a + 3 Combine like terms: 5a + -1a = 4a 1 + 4a = 7 + -2a + 3 Reorder the terms: 1 + 4a = 7 + 3 + -2a Combine like terms: 7 + 3 = 10 1 + 4a = 10 + -2a Solving 1 + 4a = 10 + -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. 1 + 4a + 2a = 10 + -2a + 2a Combine like terms: 4a + 2a = 6a 1 + 6a = 10 + -2a + 2a Combine like terms: -2a + 2a = 0 1 + 6a = 10 + 0 1 + 6a = 10 Add '-1' to each side of the equation. 1 + -1 + 6a = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 6a = 10 + -1 6a = 10 + -1 Combine like terms: 10 + -1 = 9 6a = 9 Divide each side by '6'. a = 1.5 Simplifying a = 1.5
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