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Simplifying 8a + -3(5 + 29a) = 85 + -3a 8a + (5 * -3 + 29a * -3) = 85 + -3a 8a + (-15 + -87a) = 85 + -3a Reorder the terms: -15 + 8a + -87a = 85 + -3a Combine like terms: 8a + -87a = -79a -15 + -79a = 85 + -3a Solving -15 + -79a = 85 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -15 + -79a + 3a = 85 + -3a + 3a Combine like terms: -79a + 3a = -76a -15 + -76a = 85 + -3a + 3a Combine like terms: -3a + 3a = 0 -15 + -76a = 85 + 0 -15 + -76a = 85 Add '15' to each side of the equation. -15 + 15 + -76a = 85 + 15 Combine like terms: -15 + 15 = 0 0 + -76a = 85 + 15 -76a = 85 + 15 Combine like terms: 85 + 15 = 100 -76a = 100 Divide each side by '-76'. a = -1.315789474 Simplifying a = -1.315789474
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