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Simplifying 5(a + -7) = -39 + 4a Reorder the terms: 5(-7 + a) = -39 + 4a (-7 * 5 + a * 5) = -39 + 4a (-35 + 5a) = -39 + 4a Solving -35 + 5a = -39 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -35 + 5a + -4a = -39 + 4a + -4a Combine like terms: 5a + -4a = 1a -35 + 1a = -39 + 4a + -4a Combine like terms: 4a + -4a = 0 -35 + 1a = -39 + 0 -35 + 1a = -39 Add '35' to each side of the equation. -35 + 35 + 1a = -39 + 35 Combine like terms: -35 + 35 = 0 0 + 1a = -39 + 35 1a = -39 + 35 Combine like terms: -39 + 35 = -4 1a = -4 Divide each side by '1'. a = -4 Simplifying a = -4
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