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Simplifying (3a + -8) + -1(a + 2) = 0 Reorder the terms: (-8 + 3a) + -1(a + 2) = 0 Remove parenthesis around (-8 + 3a) -8 + 3a + -1(a + 2) = 0 Reorder the terms: -8 + 3a + -1(2 + a) = 0 -8 + 3a + (2 * -1 + a * -1) = 0 -8 + 3a + (-2 + -1a) = 0 Reorder the terms: -8 + -2 + 3a + -1a = 0 Combine like terms: -8 + -2 = -10 -10 + 3a + -1a = 0 Combine like terms: 3a + -1a = 2a -10 + 2a = 0 Solving -10 + 2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 2a = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 2a = 0 + 10 2a = 0 + 10 Combine like terms: 0 + 10 = 10 2a = 10 Divide each side by '2'. a = 5 Simplifying a = 5
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