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Simplifying 138 = -7(5a + 2) + -3a Reorder the terms: 138 = -7(2 + 5a) + -3a 138 = (2 * -7 + 5a * -7) + -3a 138 = (-14 + -35a) + -3a Combine like terms: -35a + -3a = -38a 138 = -14 + -38a Solving 138 = -14 + -38a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '38a' to each side of the equation. 138 + 38a = -14 + -38a + 38a Combine like terms: -38a + 38a = 0 138 + 38a = -14 + 0 138 + 38a = -14 Add '-138' to each side of the equation. 138 + -138 + 38a = -14 + -138 Combine like terms: 138 + -138 = 0 0 + 38a = -14 + -138 38a = -14 + -138 Combine like terms: -14 + -138 = -152 38a = -152 Divide each side by '38'. a = -4 Simplifying a = -4
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