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Simplifying 6(4a + 1) + -8 = 142 Reorder the terms: 6(1 + 4a) + -8 = 142 (1 * 6 + 4a * 6) + -8 = 142 (6 + 24a) + -8 = 142 Reorder the terms: 6 + -8 + 24a = 142 Combine like terms: 6 + -8 = -2 -2 + 24a = 142 Solving -2 + 24a = 142 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 24a = 142 + 2 Combine like terms: -2 + 2 = 0 0 + 24a = 142 + 2 24a = 142 + 2 Combine like terms: 142 + 2 = 144 24a = 144 Divide each side by '24'. a = 6 Simplifying a = 6
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