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Simplifying 2a + -14 + -10a = 10 + -24a + -5 Reorder the terms: -14 + 2a + -10a = 10 + -24a + -5 Combine like terms: 2a + -10a = -8a -14 + -8a = 10 + -24a + -5 Reorder the terms: -14 + -8a = 10 + -5 + -24a Combine like terms: 10 + -5 = 5 -14 + -8a = 5 + -24a Solving -14 + -8a = 5 + -24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24a' to each side of the equation. -14 + -8a + 24a = 5 + -24a + 24a Combine like terms: -8a + 24a = 16a -14 + 16a = 5 + -24a + 24a Combine like terms: -24a + 24a = 0 -14 + 16a = 5 + 0 -14 + 16a = 5 Add '14' to each side of the equation. -14 + 14 + 16a = 5 + 14 Combine like terms: -14 + 14 = 0 0 + 16a = 5 + 14 16a = 5 + 14 Combine like terms: 5 + 14 = 19 16a = 19 Divide each side by '16'. a = 1.1875 Simplifying a = 1.1875
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