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Simplifying 29 + -1(3a + 5) = 7 + -5a Reorder the terms: 29 + -1(5 + 3a) = 7 + -5a 29 + (5 * -1 + 3a * -1) = 7 + -5a 29 + (-5 + -3a) = 7 + -5a Combine like terms: 29 + -5 = 24 24 + -3a = 7 + -5a Solving 24 + -3a = 7 + -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. 24 + -3a + 5a = 7 + -5a + 5a Combine like terms: -3a + 5a = 2a 24 + 2a = 7 + -5a + 5a Combine like terms: -5a + 5a = 0 24 + 2a = 7 + 0 24 + 2a = 7 Add '-24' to each side of the equation. 24 + -24 + 2a = 7 + -24 Combine like terms: 24 + -24 = 0 0 + 2a = 7 + -24 2a = 7 + -24 Combine like terms: 7 + -24 = -17 2a = -17 Divide each side by '2'. a = -8.5 Simplifying a = -8.5
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