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Simplifying -22a + -69 = a + -506 Reorder the terms: -69 + -22a = a + -506 Reorder the terms: -69 + -22a = -506 + a Solving -69 + -22a = -506 + 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. -69 + -22a + -1a = -506 + a + -1a Combine like terms: -22a + -1a = -23a -69 + -23a = -506 + a + -1a Combine like terms: a + -1a = 0 -69 + -23a = -506 + 0 -69 + -23a = -506 Add '69' to each side of the equation. -69 + 69 + -23a = -506 + 69 Combine like terms: -69 + 69 = 0 0 + -23a = -506 + 69 -23a = -506 + 69 Combine like terms: -506 + 69 = -437 -23a = -437 Divide each side by '-23'. a = 19 Simplifying a = 19
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