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Simplifying 5a + -1(5 + -1a) = 4a + -9 5a + (5 * -1 + -1a * -1) = 4a + -9 5a + (-5 + 1a) = 4a + -9 Reorder the terms: -5 + 5a + 1a = 4a + -9 Combine like terms: 5a + 1a = 6a -5 + 6a = 4a + -9 Reorder the terms: -5 + 6a = -9 + 4a Solving -5 + 6a = -9 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -5 + 6a + -4a = -9 + 4a + -4a Combine like terms: 6a + -4a = 2a -5 + 2a = -9 + 4a + -4a Combine like terms: 4a + -4a = 0 -5 + 2a = -9 + 0 -5 + 2a = -9 Add '5' to each side of the equation. -5 + 5 + 2a = -9 + 5 Combine like terms: -5 + 5 = 0 0 + 2a = -9 + 5 2a = -9 + 5 Combine like terms: -9 + 5 = -4 2a = -4 Divide each side by '2'. a = -2 Simplifying a = -2
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