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Simplifying -6(3 + -3a) + -8(6a + 5) = 33 (3 * -6 + -3a * -6) + -8(6a + 5) = 33 (-18 + 18a) + -8(6a + 5) = 33 Reorder the terms: -18 + 18a + -8(5 + 6a) = 33 -18 + 18a + (5 * -8 + 6a * -8) = 33 -18 + 18a + (-40 + -48a) = 33 Reorder the terms: -18 + -40 + 18a + -48a = 33 Combine like terms: -18 + -40 = -58 -58 + 18a + -48a = 33 Combine like terms: 18a + -48a = -30a -58 + -30a = 33 Solving -58 + -30a = 33 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + -30a = 33 + 58 Combine like terms: -58 + 58 = 0 0 + -30a = 33 + 58 -30a = 33 + 58 Combine like terms: 33 + 58 = 91 -30a = 91 Divide each side by '-30'. a = -3.033333333 Simplifying a = -3.033333333
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