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Simplifying -6(7 + -8a) = 2 + 4a (7 * -6 + -8a * -6) = 2 + 4a (-42 + 48a) = 2 + 4a Solving -42 + 48a = 2 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -42 + 48a + -4a = 2 + 4a + -4a Combine like terms: 48a + -4a = 44a -42 + 44a = 2 + 4a + -4a Combine like terms: 4a + -4a = 0 -42 + 44a = 2 + 0 -42 + 44a = 2 Add '42' to each side of the equation. -42 + 42 + 44a = 2 + 42 Combine like terms: -42 + 42 = 0 0 + 44a = 2 + 42 44a = 2 + 42 Combine like terms: 2 + 42 = 44 44a = 44 Divide each side by '44'. a = 1 Simplifying a = 1
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