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Simplifying 24a + -8 + -10a = 2(4 + -7a) Reorder the terms: -8 + 24a + -10a = 2(4 + -7a) Combine like terms: 24a + -10a = 14a -8 + 14a = 2(4 + -7a) -8 + 14a = (4 * 2 + -7a * 2) -8 + 14a = (8 + -14a) Solving -8 + 14a = 8 + -14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14a' to each side of the equation. -8 + 14a + 14a = 8 + -14a + 14a Combine like terms: 14a + 14a = 28a -8 + 28a = 8 + -14a + 14a Combine like terms: -14a + 14a = 0 -8 + 28a = 8 + 0 -8 + 28a = 8 Add '8' to each side of the equation. -8 + 8 + 28a = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 28a = 8 + 8 28a = 8 + 8 Combine like terms: 8 + 8 = 16 28a = 16 Divide each side by '28'. a = 0.5714285714 Simplifying a = 0.5714285714
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