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Simplifying -2(3 + -7a) = -38 + 6a (3 * -2 + -7a * -2) = -38 + 6a (-6 + 14a) = -38 + 6a Solving -6 + 14a = -38 + 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. -6 + 14a + -6a = -38 + 6a + -6a Combine like terms: 14a + -6a = 8a -6 + 8a = -38 + 6a + -6a Combine like terms: 6a + -6a = 0 -6 + 8a = -38 + 0 -6 + 8a = -38 Add '6' to each side of the equation. -6 + 6 + 8a = -38 + 6 Combine like terms: -6 + 6 = 0 0 + 8a = -38 + 6 8a = -38 + 6 Combine like terms: -38 + 6 = -32 8a = -32 Divide each side by '8'. a = -4 Simplifying a = -4
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