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Simplifying 5 + -5a + 3 = 15 + 4a + 2 Reorder the terms: 5 + 3 + -5a = 15 + 4a + 2 Combine like terms: 5 + 3 = 8 8 + -5a = 15 + 4a + 2 Reorder the terms: 8 + -5a = 15 + 2 + 4a Combine like terms: 15 + 2 = 17 8 + -5a = 17 + 4a Solving 8 + -5a = 17 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 8 + -5a + -4a = 17 + 4a + -4a Combine like terms: -5a + -4a = -9a 8 + -9a = 17 + 4a + -4a Combine like terms: 4a + -4a = 0 8 + -9a = 17 + 0 8 + -9a = 17 Add '-8' to each side of the equation. 8 + -8 + -9a = 17 + -8 Combine like terms: 8 + -8 = 0 0 + -9a = 17 + -8 -9a = 17 + -8 Combine like terms: 17 + -8 = 9 -9a = 9 Divide each side by '-9'. a = -1 Simplifying a = -1
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