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Simplifying -6(-3 + -3a) + -8(6a + 5) = 32 (-3 * -6 + -3a * -6) + -8(6a + 5) = 32 (18 + 18a) + -8(6a + 5) = 32 Reorder the terms: 18 + 18a + -8(5 + 6a) = 32 18 + 18a + (5 * -8 + 6a * -8) = 32 18 + 18a + (-40 + -48a) = 32 Reorder the terms: 18 + -40 + 18a + -48a = 32 Combine like terms: 18 + -40 = -22 -22 + 18a + -48a = 32 Combine like terms: 18a + -48a = -30a -22 + -30a = 32 Solving -22 + -30a = 32 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -30a = 32 + 22 Combine like terms: -22 + 22 = 0 0 + -30a = 32 + 22 -30a = 32 + 22 Combine like terms: 32 + 22 = 54 -30a = 54 Divide each side by '-30'. a = -1.8 Simplifying a = -1.8
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