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Simplifying 8a + 2 + -7a = -14 + -1a Reorder the terms: 2 + 8a + -7a = -14 + -1a Combine like terms: 8a + -7a = 1a 2 + 1a = -14 + -1a Solving 2 + 1a = -14 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 2 + 1a + a = -14 + -1a + a Combine like terms: 1a + a = 2a 2 + 2a = -14 + -1a + a Combine like terms: -1a + a = 0 2 + 2a = -14 + 0 2 + 2a = -14 Add '-2' to each side of the equation. 2 + -2 + 2a = -14 + -2 Combine like terms: 2 + -2 = 0 0 + 2a = -14 + -2 2a = -14 + -2 Combine like terms: -14 + -2 = -16 2a = -16 Divide each side by '2'. a = -8 Simplifying a = -8
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