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Simplifying -7(2a + -6) = 31 + -3a Reorder the terms: -7(-6 + 2a) = 31 + -3a (-6 * -7 + 2a * -7) = 31 + -3a (42 + -14a) = 31 + -3a Solving 42 + -14a = 31 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 42 + -14a + 3a = 31 + -3a + 3a Combine like terms: -14a + 3a = -11a 42 + -11a = 31 + -3a + 3a Combine like terms: -3a + 3a = 0 42 + -11a = 31 + 0 42 + -11a = 31 Add '-42' to each side of the equation. 42 + -42 + -11a = 31 + -42 Combine like terms: 42 + -42 = 0 0 + -11a = 31 + -42 -11a = 31 + -42 Combine like terms: 31 + -42 = -11 -11a = -11 Divide each side by '-11'. a = 1 Simplifying a = 1
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