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Simplifying 6a + 19 = 8a + -17 Reorder the terms: 19 + 6a = 8a + -17 Reorder the terms: 19 + 6a = -17 + 8a Solving 19 + 6a = -17 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 19 + 6a + -8a = -17 + 8a + -8a Combine like terms: 6a + -8a = -2a 19 + -2a = -17 + 8a + -8a Combine like terms: 8a + -8a = 0 19 + -2a = -17 + 0 19 + -2a = -17 Add '-19' to each side of the equation. 19 + -19 + -2a = -17 + -19 Combine like terms: 19 + -19 = 0 0 + -2a = -17 + -19 -2a = -17 + -19 Combine like terms: -17 + -19 = -36 -2a = -36 Divide each side by '-2'. a = 18 Simplifying a = 18
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