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Simplifying 11 + -3a = 2a + -19 Reorder the terms: 11 + -3a = -19 + 2a Solving 11 + -3a = -19 + 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. 11 + -3a + -2a = -19 + 2a + -2a Combine like terms: -3a + -2a = -5a 11 + -5a = -19 + 2a + -2a Combine like terms: 2a + -2a = 0 11 + -5a = -19 + 0 11 + -5a = -19 Add '-11' to each side of the equation. 11 + -11 + -5a = -19 + -11 Combine like terms: 11 + -11 = 0 0 + -5a = -19 + -11 -5a = -19 + -11 Combine like terms: -19 + -11 = -30 -5a = -30 Divide each side by '-5'. a = 6 Simplifying a = 6
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