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Simplifying 7a + -1(8 + -1a) = 5a + -14 7a + (8 * -1 + -1a * -1) = 5a + -14 7a + (-8 + 1a) = 5a + -14 Reorder the terms: -8 + 7a + 1a = 5a + -14 Combine like terms: 7a + 1a = 8a -8 + 8a = 5a + -14 Reorder the terms: -8 + 8a = -14 + 5a Solving -8 + 8a = -14 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -8 + 8a + -5a = -14 + 5a + -5a Combine like terms: 8a + -5a = 3a -8 + 3a = -14 + 5a + -5a Combine like terms: 5a + -5a = 0 -8 + 3a = -14 + 0 -8 + 3a = -14 Add '8' to each side of the equation. -8 + 8 + 3a = -14 + 8 Combine like terms: -8 + 8 = 0 0 + 3a = -14 + 8 3a = -14 + 8 Combine like terms: -14 + 8 = -6 3a = -6 Divide each side by '3'. a = -2 Simplifying a = -2
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