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Simplifying -3(-4a + 1) = -1(9 + 7a) Reorder the terms: -3(1 + -4a) = -1(9 + 7a) (1 * -3 + -4a * -3) = -1(9 + 7a) (-3 + 12a) = -1(9 + 7a) -3 + 12a = (9 * -1 + 7a * -1) -3 + 12a = (-9 + -7a) Solving -3 + 12a = -9 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -3 + 12a + 7a = -9 + -7a + 7a Combine like terms: 12a + 7a = 19a -3 + 19a = -9 + -7a + 7a Combine like terms: -7a + 7a = 0 -3 + 19a = -9 + 0 -3 + 19a = -9 Add '3' to each side of the equation. -3 + 3 + 19a = -9 + 3 Combine like terms: -3 + 3 = 0 0 + 19a = -9 + 3 19a = -9 + 3 Combine like terms: -9 + 3 = -6 19a = -6 Divide each side by '19'. a = -0.3157894737 Simplifying a = -0.3157894737
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