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Simplifying -2(-4a + 9) = 12a + -2 Reorder the terms: -2(9 + -4a) = 12a + -2 (9 * -2 + -4a * -2) = 12a + -2 (-18 + 8a) = 12a + -2 Reorder the terms: -18 + 8a = -2 + 12a Solving -18 + 8a = -2 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -18 + 8a + -12a = -2 + 12a + -12a Combine like terms: 8a + -12a = -4a -18 + -4a = -2 + 12a + -12a Combine like terms: 12a + -12a = 0 -18 + -4a = -2 + 0 -18 + -4a = -2 Add '18' to each side of the equation. -18 + 18 + -4a = -2 + 18 Combine like terms: -18 + 18 = 0 0 + -4a = -2 + 18 -4a = -2 + 18 Combine like terms: -2 + 18 = 16 -4a = 16 Divide each side by '-4'. a = -4 Simplifying a = -4
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