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Simplifying 5a + -1a + -8 = 15 + -3a Reorder the terms: -8 + 5a + -1a = 15 + -3a Combine like terms: 5a + -1a = 4a -8 + 4a = 15 + -3a Solving -8 + 4a = 15 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -8 + 4a + 3a = 15 + -3a + 3a Combine like terms: 4a + 3a = 7a -8 + 7a = 15 + -3a + 3a Combine like terms: -3a + 3a = 0 -8 + 7a = 15 + 0 -8 + 7a = 15 Add '8' to each side of the equation. -8 + 8 + 7a = 15 + 8 Combine like terms: -8 + 8 = 0 0 + 7a = 15 + 8 7a = 15 + 8 Combine like terms: 15 + 8 = 23 7a = 23 Divide each side by '7'. a = 3.285714286 Simplifying a = 3.285714286
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