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Simplifying 5a + -7 + 3a = 6a + -17 Reorder the terms: -7 + 5a + 3a = 6a + -17 Combine like terms: 5a + 3a = 8a -7 + 8a = 6a + -17 Reorder the terms: -7 + 8a = -17 + 6a Solving -7 + 8a = -17 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -7 + 8a + -6a = -17 + 6a + -6a Combine like terms: 8a + -6a = 2a -7 + 2a = -17 + 6a + -6a Combine like terms: 6a + -6a = 0 -7 + 2a = -17 + 0 -7 + 2a = -17 Add '7' to each side of the equation. -7 + 7 + 2a = -17 + 7 Combine like terms: -7 + 7 = 0 0 + 2a = -17 + 7 2a = -17 + 7 Combine like terms: -17 + 7 = -10 2a = -10 Divide each side by '2'. a = -5 Simplifying a = -5
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