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Simplifying -6(7 + -1a) = 4a (7 * -6 + -1a * -6) = 4a (-42 + 6a) = 4a Solving -42 + 6a = 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 + 6a + -4a = 4a + -4a Combine like terms: 6a + -4a = 2a -42 + 2a = 4a + -4a Combine like terms: 4a + -4a = 0 -42 + 2a = 0 Add '42' to each side of the equation. -42 + 42 + 2a = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 2a = 0 + 42 2a = 0 + 42 Combine like terms: 0 + 42 = 42 2a = 42 Divide each side by '2'. a = 21 Simplifying a = 21
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