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Simplifying 8a + -1(4 + -1a) = 5a + -28 8a + (4 * -1 + -1a * -1) = 5a + -28 8a + (-4 + 1a) = 5a + -28 Reorder the terms: -4 + 8a + 1a = 5a + -28 Combine like terms: 8a + 1a = 9a -4 + 9a = 5a + -28 Reorder the terms: -4 + 9a = -28 + 5a Solving -4 + 9a = -28 + 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. -4 + 9a + -5a = -28 + 5a + -5a Combine like terms: 9a + -5a = 4a -4 + 4a = -28 + 5a + -5a Combine like terms: 5a + -5a = 0 -4 + 4a = -28 + 0 -4 + 4a = -28 Add '4' to each side of the equation. -4 + 4 + 4a = -28 + 4 Combine like terms: -4 + 4 = 0 0 + 4a = -28 + 4 4a = -28 + 4 Combine like terms: -28 + 4 = -24 4a = -24 Divide each side by '4'. a = -6 Simplifying a = -6
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