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Simplifying 8 + 5a = -1(14 + -1a) 8 + 5a = (14 * -1 + -1a * -1) 8 + 5a = (-14 + 1a) Solving 8 + 5a = -14 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 8 + 5a + -1a = -14 + 1a + -1a Combine like terms: 5a + -1a = 4a 8 + 4a = -14 + 1a + -1a Combine like terms: 1a + -1a = 0 8 + 4a = -14 + 0 8 + 4a = -14 Add '-8' to each side of the equation. 8 + -8 + 4a = -14 + -8 Combine like terms: 8 + -8 = 0 0 + 4a = -14 + -8 4a = -14 + -8 Combine like terms: -14 + -8 = -22 4a = -22 Divide each side by '4'. a = -5.5 Simplifying a = -5.5
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