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Simplifying 3(4a + 5) + -1(7a + 2) = 0 Reorder the terms: 3(5 + 4a) + -1(7a + 2) = 0 (5 * 3 + 4a * 3) + -1(7a + 2) = 0 (15 + 12a) + -1(7a + 2) = 0 Reorder the terms: 15 + 12a + -1(2 + 7a) = 0 15 + 12a + (2 * -1 + 7a * -1) = 0 15 + 12a + (-2 + -7a) = 0 Reorder the terms: 15 + -2 + 12a + -7a = 0 Combine like terms: 15 + -2 = 13 13 + 12a + -7a = 0 Combine like terms: 12a + -7a = 5a 13 + 5a = 0 Solving 13 + 5a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 5a = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 5a = 0 + -13 5a = 0 + -13 Combine like terms: 0 + -13 = -13 5a = -13 Divide each side by '5'. a = -2.6 Simplifying a = -2.6
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