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Simplifying -9(a + -4) = -5(a + 4) Reorder the terms: -9(-4 + a) = -5(a + 4) (-4 * -9 + a * -9) = -5(a + 4) (36 + -9a) = -5(a + 4) Reorder the terms: 36 + -9a = -5(4 + a) 36 + -9a = (4 * -5 + a * -5) 36 + -9a = (-20 + -5a) Solving 36 + -9a = -20 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 36 + -9a + 5a = -20 + -5a + 5a Combine like terms: -9a + 5a = -4a 36 + -4a = -20 + -5a + 5a Combine like terms: -5a + 5a = 0 36 + -4a = -20 + 0 36 + -4a = -20 Add '-36' to each side of the equation. 36 + -36 + -4a = -20 + -36 Combine like terms: 36 + -36 = 0 0 + -4a = -20 + -36 -4a = -20 + -36 Combine like terms: -20 + -36 = -56 -4a = -56 Divide each side by '-4'. a = 14 Simplifying a = 14
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