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Simplifying 3(6 + -1) + 5(2a + 7) = 0 Combine like terms: 6 + -1 = 5 3(5) + 5(2a + 7) = 0 Multiply 3 * 5 15 + 5(2a + 7) = 0 Reorder the terms: 15 + 5(7 + 2a) = 0 15 + (7 * 5 + 2a * 5) = 0 15 + (35 + 10a) = 0 Combine like terms: 15 + 35 = 50 50 + 10a = 0 Solving 50 + 10a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 10a = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 10a = 0 + -50 10a = 0 + -50 Combine like terms: 0 + -50 = -50 10a = -50 Divide each side by '10'. a = -5 Simplifying a = -5
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