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Simplifying -13 + -11a = -31 + -2a Solving -13 + -11a = -31 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -13 + -11a + 2a = -31 + -2a + 2a Combine like terms: -11a + 2a = -9a -13 + -9a = -31 + -2a + 2a Combine like terms: -2a + 2a = 0 -13 + -9a = -31 + 0 -13 + -9a = -31 Add '13' to each side of the equation. -13 + 13 + -9a = -31 + 13 Combine like terms: -13 + 13 = 0 0 + -9a = -31 + 13 -9a = -31 + 13 Combine like terms: -31 + 13 = -18 -9a = -18 Divide each side by '-9'. a = 2 Simplifying a = 2
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