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Simplifying 30 + -5(3a + -5) = 56a Reorder the terms: 30 + -5(-5 + 3a) = 56a 30 + (-5 * -5 + 3a * -5) = 56a 30 + (25 + -15a) = 56a Combine like terms: 30 + 25 = 55 55 + -15a = 56a Solving 55 + -15a = 56a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-56a' to each side of the equation. 55 + -15a + -56a = 56a + -56a Combine like terms: -15a + -56a = -71a 55 + -71a = 56a + -56a Combine like terms: 56a + -56a = 0 55 + -71a = 0 Add '-55' to each side of the equation. 55 + -55 + -71a = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -71a = 0 + -55 -71a = 0 + -55 Combine like terms: 0 + -55 = -55 -71a = -55 Divide each side by '-71'. a = 0.7746478873 Simplifying a = 0.7746478873
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