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Simplifying 8 + -1(6 + -2a) = 5(-3a + 1) 8 + (6 * -1 + -2a * -1) = 5(-3a + 1) 8 + (-6 + 2a) = 5(-3a + 1) Combine like terms: 8 + -6 = 2 2 + 2a = 5(-3a + 1) Reorder the terms: 2 + 2a = 5(1 + -3a) 2 + 2a = (1 * 5 + -3a * 5) 2 + 2a = (5 + -15a) Solving 2 + 2a = 5 + -15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15a' to each side of the equation. 2 + 2a + 15a = 5 + -15a + 15a Combine like terms: 2a + 15a = 17a 2 + 17a = 5 + -15a + 15a Combine like terms: -15a + 15a = 0 2 + 17a = 5 + 0 2 + 17a = 5 Add '-2' to each side of the equation. 2 + -2 + 17a = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 17a = 5 + -2 17a = 5 + -2 Combine like terms: 5 + -2 = 3 17a = 3 Divide each side by '17'. a = 0.1764705882 Simplifying a = 0.1764705882
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