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Simplifying -3(3 + -4a) = 6a + 33 (3 * -3 + -4a * -3) = 6a + 33 (-9 + 12a) = 6a + 33 Reorder the terms: -9 + 12a = 33 + 6a Solving -9 + 12a = 33 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -9 + 12a + -6a = 33 + 6a + -6a Combine like terms: 12a + -6a = 6a -9 + 6a = 33 + 6a + -6a Combine like terms: 6a + -6a = 0 -9 + 6a = 33 + 0 -9 + 6a = 33 Add '9' to each side of the equation. -9 + 9 + 6a = 33 + 9 Combine like terms: -9 + 9 = 0 0 + 6a = 33 + 9 6a = 33 + 9 Combine like terms: 33 + 9 = 42 6a = 42 Divide each side by '6'. a = 7 Simplifying a = 7
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