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Simplifying -1(5a + 3) + -3(a + -2) = 24 + -1a Reorder the terms: -1(3 + 5a) + -3(a + -2) = 24 + -1a (3 * -1 + 5a * -1) + -3(a + -2) = 24 + -1a (-3 + -5a) + -3(a + -2) = 24 + -1a Reorder the terms: -3 + -5a + -3(-2 + a) = 24 + -1a -3 + -5a + (-2 * -3 + a * -3) = 24 + -1a -3 + -5a + (6 + -3a) = 24 + -1a Reorder the terms: -3 + 6 + -5a + -3a = 24 + -1a Combine like terms: -3 + 6 = 3 3 + -5a + -3a = 24 + -1a Combine like terms: -5a + -3a = -8a 3 + -8a = 24 + -1a Solving 3 + -8a = 24 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 3 + -8a + a = 24 + -1a + a Combine like terms: -8a + a = -7a 3 + -7a = 24 + -1a + a Combine like terms: -1a + a = 0 3 + -7a = 24 + 0 3 + -7a = 24 Add '-3' to each side of the equation. 3 + -3 + -7a = 24 + -3 Combine like terms: 3 + -3 = 0 0 + -7a = 24 + -3 -7a = 24 + -3 Combine like terms: 24 + -3 = 21 -7a = 21 Divide each side by '-7'. a = -3 Simplifying a = -3
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