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Simplifying -7(5 + -4a) = 31 + 6a (5 * -7 + -4a * -7) = 31 + 6a (-35 + 28a) = 31 + 6a Solving -35 + 28a = 31 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -35 + 28a + -6a = 31 + 6a + -6a Combine like terms: 28a + -6a = 22a -35 + 22a = 31 + 6a + -6a Combine like terms: 6a + -6a = 0 -35 + 22a = 31 + 0 -35 + 22a = 31 Add '35' to each side of the equation. -35 + 35 + 22a = 31 + 35 Combine like terms: -35 + 35 = 0 0 + 22a = 31 + 35 22a = 31 + 35 Combine like terms: 31 + 35 = 66 22a = 66 Divide each side by '22'. a = 3 Simplifying a = 3
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