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Simplifying -4(a + 9) = -6(4a + -1) Reorder the terms: -4(9 + a) = -6(4a + -1) (9 * -4 + a * -4) = -6(4a + -1) (-36 + -4a) = -6(4a + -1) Reorder the terms: -36 + -4a = -6(-1 + 4a) -36 + -4a = (-1 * -6 + 4a * -6) -36 + -4a = (6 + -24a) Solving -36 + -4a = 6 + -24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24a' to each side of the equation. -36 + -4a + 24a = 6 + -24a + 24a Combine like terms: -4a + 24a = 20a -36 + 20a = 6 + -24a + 24a Combine like terms: -24a + 24a = 0 -36 + 20a = 6 + 0 -36 + 20a = 6 Add '36' to each side of the equation. -36 + 36 + 20a = 6 + 36 Combine like terms: -36 + 36 = 0 0 + 20a = 6 + 36 20a = 6 + 36 Combine like terms: 6 + 36 = 42 20a = 42 Divide each side by '20'. a = 2.1 Simplifying a = 2.1
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