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Simplifying -1(8a + 2) = -1(1 + 2a) Reorder the terms: -1(2 + 8a) = -1(1 + 2a) (2 * -1 + 8a * -1) = -1(1 + 2a) (-2 + -8a) = -1(1 + 2a) -2 + -8a = (1 * -1 + 2a * -1) -2 + -8a = (-1 + -2a) Solving -2 + -8a = -1 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -2 + -8a + 2a = -1 + -2a + 2a Combine like terms: -8a + 2a = -6a -2 + -6a = -1 + -2a + 2a Combine like terms: -2a + 2a = 0 -2 + -6a = -1 + 0 -2 + -6a = -1 Add '2' to each side of the equation. -2 + 2 + -6a = -1 + 2 Combine like terms: -2 + 2 = 0 0 + -6a = -1 + 2 -6a = -1 + 2 Combine like terms: -1 + 2 = 1 -6a = 1 Divide each side by '-6'. a = -0.1666666667 Simplifying a = -0.1666666667
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