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Simplifying -5(2a + 7) = -39 + -8a Reorder the terms: -5(7 + 2a) = -39 + -8a (7 * -5 + 2a * -5) = -39 + -8a (-35 + -10a) = -39 + -8a Solving -35 + -10a = -39 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -35 + -10a + 8a = -39 + -8a + 8a Combine like terms: -10a + 8a = -2a -35 + -2a = -39 + -8a + 8a Combine like terms: -8a + 8a = 0 -35 + -2a = -39 + 0 -35 + -2a = -39 Add '35' to each side of the equation. -35 + 35 + -2a = -39 + 35 Combine like terms: -35 + 35 = 0 0 + -2a = -39 + 35 -2a = -39 + 35 Combine like terms: -39 + 35 = -4 -2a = -4 Divide each side by '-2'. a = 2 Simplifying a = 2
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