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Simplifying -2(1 + -8a) = 6(1 + 3a) (1 * -2 + -8a * -2) = 6(1 + 3a) (-2 + 16a) = 6(1 + 3a) -2 + 16a = (1 * 6 + 3a * 6) -2 + 16a = (6 + 18a) Solving -2 + 16a = 6 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. -2 + 16a + -18a = 6 + 18a + -18a Combine like terms: 16a + -18a = -2a -2 + -2a = 6 + 18a + -18a Combine like terms: 18a + -18a = 0 -2 + -2a = 6 + 0 -2 + -2a = 6 Add '2' to each side of the equation. -2 + 2 + -2a = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -2a = 6 + 2 -2a = 6 + 2 Combine like terms: 6 + 2 = 8 -2a = 8 Divide each side by '-2'. a = -4 Simplifying a = -4
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