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Simplifying 24 + 2a + -5 = 10a + -11 + -2a Reorder the terms: 24 + -5 + 2a = 10a + -11 + -2a Combine like terms: 24 + -5 = 19 19 + 2a = 10a + -11 + -2a Reorder the terms: 19 + 2a = -11 + 10a + -2a Combine like terms: 10a + -2a = 8a 19 + 2a = -11 + 8a Solving 19 + 2a = -11 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 19 + 2a + -8a = -11 + 8a + -8a Combine like terms: 2a + -8a = -6a 19 + -6a = -11 + 8a + -8a Combine like terms: 8a + -8a = 0 19 + -6a = -11 + 0 19 + -6a = -11 Add '-19' to each side of the equation. 19 + -19 + -6a = -11 + -19 Combine like terms: 19 + -19 = 0 0 + -6a = -11 + -19 -6a = -11 + -19 Combine like terms: -11 + -19 = -30 -6a = -30 Divide each side by '-6'. a = 5 Simplifying a = 5
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