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Simplifying 19a + -3 + -3(a + -6) = 66 Reorder the terms: 19a + -3 + -3(-6 + a) = 66 19a + -3 + (-6 * -3 + a * -3) = 66 19a + -3 + (18 + -3a) = 66 Reorder the terms: -3 + 18 + 19a + -3a = 66 Combine like terms: -3 + 18 = 15 15 + 19a + -3a = 66 Combine like terms: 19a + -3a = 16a 15 + 16a = 66 Solving 15 + 16a = 66 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 16a = 66 + -15 Combine like terms: 15 + -15 = 0 0 + 16a = 66 + -15 16a = 66 + -15 Combine like terms: 66 + -15 = 51 16a = 51 Divide each side by '16'. a = 3.1875 Simplifying a = 3.1875
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