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Simplifying -231 = -5(7a + -7) + -3a Reorder the terms: -231 = -5(-7 + 7a) + -3a -231 = (-7 * -5 + 7a * -5) + -3a -231 = (35 + -35a) + -3a Combine like terms: -35a + -3a = -38a -231 = 35 + -38a Solving -231 = 35 + -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. -231 + 38a = 35 + -38a + 38a Combine like terms: -38a + 38a = 0 -231 + 38a = 35 + 0 -231 + 38a = 35 Add '231' to each side of the equation. -231 + 231 + 38a = 35 + 231 Combine like terms: -231 + 231 = 0 0 + 38a = 35 + 231 38a = 35 + 231 Combine like terms: 35 + 231 = 266 38a = 266 Divide each side by '38'. a = 7 Simplifying a = 7
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