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