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Simplifying -23 = -21 + -10 + a Combine like terms: -21 + -10 = -31 -23 = -31 + a Solving -23 = -31 + 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. -23 + -1a = -31 + a + -1a Combine like terms: a + -1a = 0 -23 + -1a = -31 + 0 -23 + -1a = -31 Add '23' to each side of the equation. -23 + 23 + -1a = -31 + 23 Combine like terms: -23 + 23 = 0 0 + -1a = -31 + 23 -1a = -31 + 23 Combine like terms: -31 + 23 = -8 -1a = -8 Divide each side by '-1'. a = 8 Simplifying a = 8
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