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Simplifying -4a + 2 = 8 + -8a + -14 Reorder the terms: 2 + -4a = 8 + -8a + -14 Reorder the terms: 2 + -4a = 8 + -14 + -8a Combine like terms: 8 + -14 = -6 2 + -4a = -6 + -8a Solving 2 + -4a = -6 + -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. 2 + -4a + 8a = -6 + -8a + 8a Combine like terms: -4a + 8a = 4a 2 + 4a = -6 + -8a + 8a Combine like terms: -8a + 8a = 0 2 + 4a = -6 + 0 2 + 4a = -6 Add '-2' to each side of the equation. 2 + -2 + 4a = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 4a = -6 + -2 4a = -6 + -2 Combine like terms: -6 + -2 = -8 4a = -8 Divide each side by '4'. a = -2 Simplifying a = -2
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