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Simplifying -13 + 3(3a + 11) = -33 + -3a Reorder the terms: -13 + 3(11 + 3a) = -33 + -3a -13 + (11 * 3 + 3a * 3) = -33 + -3a -13 + (33 + 9a) = -33 + -3a Combine like terms: -13 + 33 = 20 20 + 9a = -33 + -3a Solving 20 + 9a = -33 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 20 + 9a + 3a = -33 + -3a + 3a Combine like terms: 9a + 3a = 12a 20 + 12a = -33 + -3a + 3a Combine like terms: -3a + 3a = 0 20 + 12a = -33 + 0 20 + 12a = -33 Add '-20' to each side of the equation. 20 + -20 + 12a = -33 + -20 Combine like terms: 20 + -20 = 0 0 + 12a = -33 + -20 12a = -33 + -20 Combine like terms: -33 + -20 = -53 12a = -53 Divide each side by '12'. a = -4.416666667 Simplifying a = -4.416666667
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