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Simplifying 3(2a + 15) + -8a = -11 Reorder the terms: 3(15 + 2a) + -8a = -11 (15 * 3 + 2a * 3) + -8a = -11 (45 + 6a) + -8a = -11 Combine like terms: 6a + -8a = -2a 45 + -2a = -11 Solving 45 + -2a = -11 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -2a = -11 + -45 Combine like terms: 45 + -45 = 0 0 + -2a = -11 + -45 -2a = -11 + -45 Combine like terms: -11 + -45 = -56 -2a = -56 Divide each side by '-2'. a = 28 Simplifying a = 28
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