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Simplifying a = 45 + -1(4a + 15) Reorder the terms: a = 45 + -1(15 + 4a) a = 45 + (15 * -1 + 4a * -1) a = 45 + (-15 + -4a) Combine like terms: 45 + -15 = 30 a = 30 + -4a Solving a = 30 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. a + 4a = 30 + -4a + 4a Combine like terms: a + 4a = 5a 5a = 30 + -4a + 4a Combine like terms: -4a + 4a = 0 5a = 30 + 0 5a = 30 Divide each side by '5'. a = 6 Simplifying a = 6
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