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Simplifying 19 + -3[a + -6] = 66 Reorder the terms: 19 + -3[-6 + a] = 66 19 + [-6 * -3 + a * -3] = 66 19 + [18 + -3a] = 66 Combine like terms: 19 + 18 = 37 37 + -3a = 66 Solving 37 + -3a = 66 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + -3a = 66 + -37 Combine like terms: 37 + -37 = 0 0 + -3a = 66 + -37 -3a = 66 + -37 Combine like terms: 66 + -37 = 29 -3a = 29 Divide each side by '-3'. a = -9.666666667 Simplifying a = -9.666666667
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