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Simplifying 10 = (8a + 6a) + 24 Combine like terms: 8a + 6a = 14a 10 = (14a) + 24 10 = (14a) + 24 Reorder the terms: 10 = 24 + (14a) Solving 10 = 24 + (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. 10 + (-14a) = 24 + (14a) + (-14a) Combine like terms: (14a) + (-14a) = 0 10 + (-14a) = 24 + 0 10 + (-14a) = 24 Add '-10' to each side of the equation. 10 + -10 + (-14a) = 24 + -10 Combine like terms: 10 + -10 = 0 0 + (-14a) = 24 + -10 (-14a) = 24 + -10 Combine like terms: 24 + -10 = 14 (-14a) = 14 Divide each side by '-14'. a = -1 Simplifying a = -1
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