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Simplifying -2(6a + -7) = 31 + -5a Reorder the terms: -2(-7 + 6a) = 31 + -5a (-7 * -2 + 6a * -2) = 31 + -5a (14 + -12a) = 31 + -5a Solving 14 + -12a = 31 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 14 + -12a + 5a = 31 + -5a + 5a Combine like terms: -12a + 5a = -7a 14 + -7a = 31 + -5a + 5a Combine like terms: -5a + 5a = 0 14 + -7a = 31 + 0 14 + -7a = 31 Add '-14' to each side of the equation. 14 + -14 + -7a = 31 + -14 Combine like terms: 14 + -14 = 0 0 + -7a = 31 + -14 -7a = 31 + -14 Combine like terms: 31 + -14 = 17 -7a = 17 Divide each side by '-7'. a = -2.428571429 Simplifying a = -2.428571429
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