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Simplifying 5a + 5(1 + -1u) = u + 8 5a + (1 * 5 + -1u * 5) = u + 8 5a + (5 + -5u) = u + 8 Reorder the terms: 5 + 5a + -5u = u + 8 Reorder the terms: 5 + 5a + -5u = 8 + u Solving 5 + 5a + -5u = 8 + u Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 5a + -5 + -5u = 8 + -5 + u Reorder the terms: 5 + -5 + 5a + -5u = 8 + -5 + u Combine like terms: 5 + -5 = 0 0 + 5a + -5u = 8 + -5 + u 5a + -5u = 8 + -5 + u Combine like terms: 8 + -5 = 3 5a + -5u = 3 + u Add '5u' to each side of the equation. 5a + -5u + 5u = 3 + u + 5u Combine like terms: -5u + 5u = 0 5a + 0 = 3 + u + 5u 5a = 3 + u + 5u Combine like terms: u + 5u = 6u 5a = 3 + 6u Divide each side by '5'. a = 0.6 + 1.2u Simplifying a = 0.6 + 1.2u
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