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Simplifying 5a + 3(a + -1) = 8 + a Reorder the terms: 5a + 3(-1 + a) = 8 + a 5a + (-1 * 3 + a * 3) = 8 + a 5a + (-3 + 3a) = 8 + a Reorder the terms: -3 + 5a + 3a = 8 + a Combine like terms: 5a + 3a = 8a -3 + 8a = 8 + a Solving -3 + 8a = 8 + a 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. -3 + 8a + -1a = 8 + a + -1a Combine like terms: 8a + -1a = 7a -3 + 7a = 8 + a + -1a Combine like terms: a + -1a = 0 -3 + 7a = 8 + 0 -3 + 7a = 8 Add '3' to each side of the equation. -3 + 3 + 7a = 8 + 3 Combine like terms: -3 + 3 = 0 0 + 7a = 8 + 3 7a = 8 + 3 Combine like terms: 8 + 3 = 11 7a = 11 Divide each side by '7'. a = 1.571428571 Simplifying a = 1.571428571
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