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Simplifying 19a + -7 + -17a + 23 = -14 Reorder the terms: -7 + 23 + 19a + -17a = -14 Combine like terms: -7 + 23 = 16 16 + 19a + -17a = -14 Combine like terms: 19a + -17a = 2a 16 + 2a = -14 Solving 16 + 2a = -14 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 2a = -14 + -16 Combine like terms: 16 + -16 = 0 0 + 2a = -14 + -16 2a = -14 + -16 Combine like terms: -14 + -16 = -30 2a = -30 Divide each side by '2'. a = -15 Simplifying a = -15
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