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Simplifying 5(2 + -1a) = a + -8 (2 * 5 + -1a * 5) = a + -8 (10 + -5a) = a + -8 Reorder the terms: 10 + -5a = -8 + a Solving 10 + -5a = -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. 10 + -5a + -1a = -8 + a + -1a Combine like terms: -5a + -1a = -6a 10 + -6a = -8 + a + -1a Combine like terms: a + -1a = 0 10 + -6a = -8 + 0 10 + -6a = -8 Add '-10' to each side of the equation. 10 + -10 + -6a = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -6a = -8 + -10 -6a = -8 + -10 Combine like terms: -8 + -10 = -18 -6a = -18 Divide each side by '-6'. a = 3 Simplifying a = 3
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