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Simplifying -11 + -5a = 14a + 16a + 24 Reorder the terms: -11 + -5a = 24 + 14a + 16a Combine like terms: 14a + 16a = 30a -11 + -5a = 24 + 30a Solving -11 + -5a = 24 + 30a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30a' to each side of the equation. -11 + -5a + -30a = 24 + 30a + -30a Combine like terms: -5a + -30a = -35a -11 + -35a = 24 + 30a + -30a Combine like terms: 30a + -30a = 0 -11 + -35a = 24 + 0 -11 + -35a = 24 Add '11' to each side of the equation. -11 + 11 + -35a = 24 + 11 Combine like terms: -11 + 11 = 0 0 + -35a = 24 + 11 -35a = 24 + 11 Combine like terms: 24 + 11 = 35 -35a = 35 Divide each side by '-35'. a = -1 Simplifying a = -1
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