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Simplifying -5(5 + -4a) = -2(a + 5) + 7a (5 * -5 + -4a * -5) = -2(a + 5) + 7a (-25 + 20a) = -2(a + 5) + 7a Reorder the terms: -25 + 20a = -2(5 + a) + 7a -25 + 20a = (5 * -2 + a * -2) + 7a -25 + 20a = (-10 + -2a) + 7a Combine like terms: -2a + 7a = 5a -25 + 20a = -10 + 5a Solving -25 + 20a = -10 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -25 + 20a + -5a = -10 + 5a + -5a Combine like terms: 20a + -5a = 15a -25 + 15a = -10 + 5a + -5a Combine like terms: 5a + -5a = 0 -25 + 15a = -10 + 0 -25 + 15a = -10 Add '25' to each side of the equation. -25 + 25 + 15a = -10 + 25 Combine like terms: -25 + 25 = 0 0 + 15a = -10 + 25 15a = -10 + 25 Combine like terms: -10 + 25 = 15 15a = 15 Divide each side by '15'. a = 1 Simplifying a = 1
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