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Simplifying -4a + 2 = 8a + -14 Reorder the terms: 2 + -4a = 8a + -14 Reorder the terms: 2 + -4a = -14 + 8a Solving 2 + -4a = -14 + 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 = -14 + 8a + -8a Combine like terms: -4a + -8a = -12a 2 + -12a = -14 + 8a + -8a Combine like terms: 8a + -8a = 0 2 + -12a = -14 + 0 2 + -12a = -14 Add '-2' to each side of the equation. 2 + -2 + -12a = -14 + -2 Combine like terms: 2 + -2 = 0 0 + -12a = -14 + -2 -12a = -14 + -2 Combine like terms: -14 + -2 = -16 -12a = -16 Divide each side by '-12'. a = 1.333333333 Simplifying a = 1.333333333
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