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Simplifying 24a + -8 + -10a = 2(4 + 6a) Reorder the terms: -8 + 24a + -10a = 2(4 + 6a) Combine like terms: 24a + -10a = 14a -8 + 14a = 2(4 + 6a) -8 + 14a = (4 * 2 + 6a * 2) -8 + 14a = (8 + 12a) Solving -8 + 14a = 8 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -8 + 14a + -12a = 8 + 12a + -12a Combine like terms: 14a + -12a = 2a -8 + 2a = 8 + 12a + -12a Combine like terms: 12a + -12a = 0 -8 + 2a = 8 + 0 -8 + 2a = 8 Add '8' to each side of the equation. -8 + 8 + 2a = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 2a = 8 + 8 2a = 8 + 8 Combine like terms: 8 + 8 = 16 2a = 16 Divide each side by '2'. a = 8 Simplifying a = 8
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