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Simplifying -2(4a + -6) = -2a + -12(3a + -6) Reorder the terms: -2(-6 + 4a) = -2a + -12(3a + -6) (-6 * -2 + 4a * -2) = -2a + -12(3a + -6) (12 + -8a) = -2a + -12(3a + -6) Reorder the terms: 12 + -8a = -2a + -12(-6 + 3a) 12 + -8a = -2a + (-6 * -12 + 3a * -12) 12 + -8a = -2a + (72 + -36a) Reorder the terms: 12 + -8a = 72 + -2a + -36a Combine like terms: -2a + -36a = -38a 12 + -8a = 72 + -38a Solving 12 + -8a = 72 + -38a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '38a' to each side of the equation. 12 + -8a + 38a = 72 + -38a + 38a Combine like terms: -8a + 38a = 30a 12 + 30a = 72 + -38a + 38a Combine like terms: -38a + 38a = 0 12 + 30a = 72 + 0 12 + 30a = 72 Add '-12' to each side of the equation. 12 + -12 + 30a = 72 + -12 Combine like terms: 12 + -12 = 0 0 + 30a = 72 + -12 30a = 72 + -12 Combine like terms: 72 + -12 = 60 30a = 60 Divide each side by '30'. a = 2 Simplifying a = 2
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