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Simplifying -38 = a + (-24) -38 = a + -24 Reorder the terms: -38 = -24 + a Solving -38 = -24 + 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. -38 + -1a = -24 + a + -1a Combine like terms: a + -1a = 0 -38 + -1a = -24 + 0 -38 + -1a = -24 Add '38' to each side of the equation. -38 + 38 + -1a = -24 + 38 Combine like terms: -38 + 38 = 0 0 + -1a = -24 + 38 -1a = -24 + 38 Combine like terms: -24 + 38 = 14 -1a = 14 Divide each side by '-1'. a = -14 Simplifying a = -14
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