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Simplifying 34a + -4(5a + 2) = 32 Reorder the terms: 34a + -4(2 + 5a) = 32 34a + (2 * -4 + 5a * -4) = 32 34a + (-8 + -20a) = 32 Reorder the terms: -8 + 34a + -20a = 32 Combine like terms: 34a + -20a = 14a -8 + 14a = 32 Solving -8 + 14a = 32 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 14a = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 14a = 32 + 8 14a = 32 + 8 Combine like terms: 32 + 8 = 40 14a = 40 Divide each side by '14'. a = 2.857142857 Simplifying a = 2.857142857
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