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Simplifying -5(5 + -4a) = 11a + 29 (5 * -5 + -4a * -5) = 11a + 29 (-25 + 20a) = 11a + 29 Reorder the terms: -25 + 20a = 29 + 11a Solving -25 + 20a = 29 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. -25 + 20a + -11a = 29 + 11a + -11a Combine like terms: 20a + -11a = 9a -25 + 9a = 29 + 11a + -11a Combine like terms: 11a + -11a = 0 -25 + 9a = 29 + 0 -25 + 9a = 29 Add '25' to each side of the equation. -25 + 25 + 9a = 29 + 25 Combine like terms: -25 + 25 = 0 0 + 9a = 29 + 25 9a = 29 + 25 Combine like terms: 29 + 25 = 54 9a = 54 Divide each side by '9'. a = 6 Simplifying a = 6
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