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Simplifying -6(-6 + -4a) = -33 + a (-6 * -6 + -4a * -6) = -33 + a (36 + 24a) = -33 + a Solving 36 + 24a = -33 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 36 + 24a + -1a = -33 + a + -1a Combine like terms: 24a + -1a = 23a 36 + 23a = -33 + a + -1a Combine like terms: a + -1a = 0 36 + 23a = -33 + 0 36 + 23a = -33 Add '-36' to each side of the equation. 36 + -36 + 23a = -33 + -36 Combine like terms: 36 + -36 = 0 0 + 23a = -33 + -36 23a = -33 + -36 Combine like terms: -33 + -36 = -69 23a = -69 Divide each side by '23'. a = -3 Simplifying a = -3
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