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Simplifying -6(a + -7) + -7 = 83 Reorder the terms: -6(-7 + a) + -7 = 83 (-7 * -6 + a * -6) + -7 = 83 (42 + -6a) + -7 = 83 Reorder the terms: 42 + -7 + -6a = 83 Combine like terms: 42 + -7 = 35 35 + -6a = 83 Solving 35 + -6a = 83 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -6a = 83 + -35 Combine like terms: 35 + -35 = 0 0 + -6a = 83 + -35 -6a = 83 + -35 Combine like terms: 83 + -35 = 48 -6a = 48 Divide each side by '-6'. a = -8 Simplifying a = -8
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