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Simplifying -11(3 + -2a) = 2(12a + 4) (3 * -11 + -2a * -11) = 2(12a + 4) (-33 + 22a) = 2(12a + 4) Reorder the terms: -33 + 22a = 2(4 + 12a) -33 + 22a = (4 * 2 + 12a * 2) -33 + 22a = (8 + 24a) Solving -33 + 22a = 8 + 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. -33 + 22a + -24a = 8 + 24a + -24a Combine like terms: 22a + -24a = -2a -33 + -2a = 8 + 24a + -24a Combine like terms: 24a + -24a = 0 -33 + -2a = 8 + 0 -33 + -2a = 8 Add '33' to each side of the equation. -33 + 33 + -2a = 8 + 33 Combine like terms: -33 + 33 = 0 0 + -2a = 8 + 33 -2a = 8 + 33 Combine like terms: 8 + 33 = 41 -2a = 41 Divide each side by '-2'. a = -20.5 Simplifying a = -20.5
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