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Simplifying -2(3a + -2) = 11(2a + 8) Reorder the terms: -2(-2 + 3a) = 11(2a + 8) (-2 * -2 + 3a * -2) = 11(2a + 8) (4 + -6a) = 11(2a + 8) Reorder the terms: 4 + -6a = 11(8 + 2a) 4 + -6a = (8 * 11 + 2a * 11) 4 + -6a = (88 + 22a) Solving 4 + -6a = 88 + 22a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22a' to each side of the equation. 4 + -6a + -22a = 88 + 22a + -22a Combine like terms: -6a + -22a = -28a 4 + -28a = 88 + 22a + -22a Combine like terms: 22a + -22a = 0 4 + -28a = 88 + 0 4 + -28a = 88 Add '-4' to each side of the equation. 4 + -4 + -28a = 88 + -4 Combine like terms: 4 + -4 = 0 0 + -28a = 88 + -4 -28a = 88 + -4 Combine like terms: 88 + -4 = 84 -28a = 84 Divide each side by '-28'. a = -3 Simplifying a = -3
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