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Simplifying 3(4a + 5) + -2(a + -7) = 0 Reorder the terms: 3(5 + 4a) + -2(a + -7) = 0 (5 * 3 + 4a * 3) + -2(a + -7) = 0 (15 + 12a) + -2(a + -7) = 0 Reorder the terms: 15 + 12a + -2(-7 + a) = 0 15 + 12a + (-7 * -2 + a * -2) = 0 15 + 12a + (14 + -2a) = 0 Reorder the terms: 15 + 14 + 12a + -2a = 0 Combine like terms: 15 + 14 = 29 29 + 12a + -2a = 0 Combine like terms: 12a + -2a = 10a 29 + 10a = 0 Solving 29 + 10a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 10a = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 10a = 0 + -29 10a = 0 + -29 Combine like terms: 0 + -29 = -29 10a = -29 Divide each side by '10'. a = -2.9 Simplifying a = -2.9
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