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Simplifying 31 + 7 = a + 9 Combine like terms: 31 + 7 = 38 38 = a + 9 Reorder the terms: 38 = 9 + a Solving 38 = 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. 38 + -1a = 9 + a + -1a Combine like terms: a + -1a = 0 38 + -1a = 9 + 0 38 + -1a = 9 Add '-38' to each side of the equation. 38 + -38 + -1a = 9 + -38 Combine like terms: 38 + -38 = 0 0 + -1a = 9 + -38 -1a = 9 + -38 Combine like terms: 9 + -38 = -29 -1a = -29 Divide each side by '-1'. a = 29 Simplifying a = 29
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