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Simplifying -2(-8a + -9) = -2a + -3(6 + -9a) Reorder the terms: -2(-9 + -8a) = -2a + -3(6 + -9a) (-9 * -2 + -8a * -2) = -2a + -3(6 + -9a) (18 + 16a) = -2a + -3(6 + -9a) 18 + 16a = -2a + (6 * -3 + -9a * -3) 18 + 16a = -2a + (-18 + 27a) Reorder the terms: 18 + 16a = -18 + -2a + 27a Combine like terms: -2a + 27a = 25a 18 + 16a = -18 + 25a Solving 18 + 16a = -18 + 25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-25a' to each side of the equation. 18 + 16a + -25a = -18 + 25a + -25a Combine like terms: 16a + -25a = -9a 18 + -9a = -18 + 25a + -25a Combine like terms: 25a + -25a = 0 18 + -9a = -18 + 0 18 + -9a = -18 Add '-18' to each side of the equation. 18 + -18 + -9a = -18 + -18 Combine like terms: 18 + -18 = 0 0 + -9a = -18 + -18 -9a = -18 + -18 Combine like terms: -18 + -18 = -36 -9a = -36 Divide each side by '-9'. a = 4 Simplifying a = 4
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