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Simplifying 5(a + -7) + a = -83 Reorder the terms: 5(-7 + a) + a = -83 (-7 * 5 + a * 5) + a = -83 (-35 + 5a) + a = -83 Combine like terms: 5a + a = 6a -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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