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Simplifying 5(a + -2) + -3(a + -5) = 29 Reorder the terms: 5(-2 + a) + -3(a + -5) = 29 (-2 * 5 + a * 5) + -3(a + -5) = 29 (-10 + 5a) + -3(a + -5) = 29 Reorder the terms: -10 + 5a + -3(-5 + a) = 29 -10 + 5a + (-5 * -3 + a * -3) = 29 -10 + 5a + (15 + -3a) = 29 Reorder the terms: -10 + 15 + 5a + -3a = 29 Combine like terms: -10 + 15 = 5 5 + 5a + -3a = 29 Combine like terms: 5a + -3a = 2a 5 + 2a = 29 Solving 5 + 2a = 29 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2a = 29 + -5 Combine like terms: 5 + -5 = 0 0 + 2a = 29 + -5 2a = 29 + -5 Combine like terms: 29 + -5 = 24 2a = 24 Divide each side by '2'. a = 12 Simplifying a = 12
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