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Simplifying 4a + -1(5 + -1a) = 2a + -23 4a + (5 * -1 + -1a * -1) = 2a + -23 4a + (-5 + 1a) = 2a + -23 Reorder the terms: -5 + 4a + 1a = 2a + -23 Combine like terms: 4a + 1a = 5a -5 + 5a = 2a + -23 Reorder the terms: -5 + 5a = -23 + 2a Solving -5 + 5a = -23 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -5 + 5a + -2a = -23 + 2a + -2a Combine like terms: 5a + -2a = 3a -5 + 3a = -23 + 2a + -2a Combine like terms: 2a + -2a = 0 -5 + 3a = -23 + 0 -5 + 3a = -23 Add '5' to each side of the equation. -5 + 5 + 3a = -23 + 5 Combine like terms: -5 + 5 = 0 0 + 3a = -23 + 5 3a = -23 + 5 Combine like terms: -23 + 5 = -18 3a = -18 Divide each side by '3'. a = -6 Simplifying a = -6
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