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Simplifying 2(-4a + -1) = -9(a + 2) Reorder the terms: 2(-1 + -4a) = -9(a + 2) (-1 * 2 + -4a * 2) = -9(a + 2) (-2 + -8a) = -9(a + 2) Reorder the terms: -2 + -8a = -9(2 + a) -2 + -8a = (2 * -9 + a * -9) -2 + -8a = (-18 + -9a) Solving -2 + -8a = -18 + -9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. -2 + -8a + 9a = -18 + -9a + 9a Combine like terms: -8a + 9a = 1a -2 + 1a = -18 + -9a + 9a Combine like terms: -9a + 9a = 0 -2 + 1a = -18 + 0 -2 + 1a = -18 Add '2' to each side of the equation. -2 + 2 + 1a = -18 + 2 Combine like terms: -2 + 2 = 0 0 + 1a = -18 + 2 1a = -18 + 2 Combine like terms: -18 + 2 = -16 1a = -16 Divide each side by '1'. a = -16 Simplifying a = -16
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