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Simplifying 3 = 6a + -1(-5a + 1) Reorder the terms: 3 = 6a + -1(1 + -5a) 3 = 6a + (1 * -1 + -5a * -1) 3 = 6a + (-1 + 5a) Reorder the terms: 3 = -1 + 6a + 5a Combine like terms: 6a + 5a = 11a 3 = -1 + 11a Solving 3 = -1 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. 3 + -11a = -1 + 11a + -11a Combine like terms: 11a + -11a = 0 3 + -11a = -1 + 0 3 + -11a = -1 Add '-3' to each side of the equation. 3 + -3 + -11a = -1 + -3 Combine like terms: 3 + -3 = 0 0 + -11a = -1 + -3 -11a = -1 + -3 Combine like terms: -1 + -3 = -4 -11a = -4 Divide each side by '-11'. a = 0.3636363636 Simplifying a = 0.3636363636
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