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Simplifying 2(19 + -3a) = 66 + -8a (19 * 2 + -3a * 2) = 66 + -8a (38 + -6a) = 66 + -8a Solving 38 + -6a = 66 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 38 + -6a + 8a = 66 + -8a + 8a Combine like terms: -6a + 8a = 2a 38 + 2a = 66 + -8a + 8a Combine like terms: -8a + 8a = 0 38 + 2a = 66 + 0 38 + 2a = 66 Add '-38' to each side of the equation. 38 + -38 + 2a = 66 + -38 Combine like terms: 38 + -38 = 0 0 + 2a = 66 + -38 2a = 66 + -38 Combine like terms: 66 + -38 = 28 2a = 28 Divide each side by '2'. a = 14 Simplifying a = 14
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