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Simplifying -5(5a + -3) = -39 + -7a Reorder the terms: -5(-3 + 5a) = -39 + -7a (-3 * -5 + 5a * -5) = -39 + -7a (15 + -25a) = -39 + -7a Solving 15 + -25a = -39 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 15 + -25a + 7a = -39 + -7a + 7a Combine like terms: -25a + 7a = -18a 15 + -18a = -39 + -7a + 7a Combine like terms: -7a + 7a = 0 15 + -18a = -39 + 0 15 + -18a = -39 Add '-15' to each side of the equation. 15 + -15 + -18a = -39 + -15 Combine like terms: 15 + -15 = 0 0 + -18a = -39 + -15 -18a = -39 + -15 Combine like terms: -39 + -15 = -54 -18a = -54 Divide each side by '-18'. a = 3 Simplifying a = 3
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