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Simplifying a + -584 = -22a + -9 Reorder the terms: -584 + a = -22a + -9 Reorder the terms: -584 + a = -9 + -22a Solving -584 + a = -9 + -22a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '22a' to each side of the equation. -584 + a + 22a = -9 + -22a + 22a Combine like terms: a + 22a = 23a -584 + 23a = -9 + -22a + 22a Combine like terms: -22a + 22a = 0 -584 + 23a = -9 + 0 -584 + 23a = -9 Add '584' to each side of the equation. -584 + 584 + 23a = -9 + 584 Combine like terms: -584 + 584 = 0 0 + 23a = -9 + 584 23a = -9 + 584 Combine like terms: -9 + 584 = 575 23a = 575 Divide each side by '23'. a = 25 Simplifying a = 25
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