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Simplifying 3(4a + -2) + -5(a + -3) = 7 Reorder the terms: 3(-2 + 4a) + -5(a + -3) = 7 (-2 * 3 + 4a * 3) + -5(a + -3) = 7 (-6 + 12a) + -5(a + -3) = 7 Reorder the terms: -6 + 12a + -5(-3 + a) = 7 -6 + 12a + (-3 * -5 + a * -5) = 7 -6 + 12a + (15 + -5a) = 7 Reorder the terms: -6 + 15 + 12a + -5a = 7 Combine like terms: -6 + 15 = 9 9 + 12a + -5a = 7 Combine like terms: 12a + -5a = 7a 9 + 7a = 7 Solving 9 + 7a = 7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7a = 7 + -9 Combine like terms: 9 + -9 = 0 0 + 7a = 7 + -9 7a = 7 + -9 Combine like terms: 7 + -9 = -2 7a = -2 Divide each side by '7'. a = -0.2857142857 Simplifying a = -0.2857142857
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