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Simplifying 2a + -31 = 10a + 9 Reorder the terms: -31 + 2a = 10a + 9 Reorder the terms: -31 + 2a = 9 + 10a Solving -31 + 2a = 9 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -31 + 2a + -10a = 9 + 10a + -10a Combine like terms: 2a + -10a = -8a -31 + -8a = 9 + 10a + -10a Combine like terms: 10a + -10a = 0 -31 + -8a = 9 + 0 -31 + -8a = 9 Add '31' to each side of the equation. -31 + 31 + -8a = 9 + 31 Combine like terms: -31 + 31 = 0 0 + -8a = 9 + 31 -8a = 9 + 31 Combine like terms: 9 + 31 = 40 -8a = 40 Divide each side by '-8'. a = -5 Simplifying a = -5
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