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Simplifying -6(3 + -3a) + -7 + (6a + 5) = 32 (3 * -6 + -3a * -6) + -7 + (6a + 5) = 32 (-18 + 18a) + -7 + (6a + 5) = 32 Reorder the terms: -18 + 18a + -7 + (5 + 6a) = 32 Remove parenthesis around (5 + 6a) -18 + 18a + -7 + 5 + 6a = 32 Reorder the terms: -18 + -7 + 5 + 18a + 6a = 32 Combine like terms: -18 + -7 = -25 -25 + 5 + 18a + 6a = 32 Combine like terms: -25 + 5 = -20 -20 + 18a + 6a = 32 Combine like terms: 18a + 6a = 24a -20 + 24a = 32 Solving -20 + 24a = 32 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 24a = 32 + 20 Combine like terms: -20 + 20 = 0 0 + 24a = 32 + 20 24a = 32 + 20 Combine like terms: 32 + 20 = 52 24a = 52 Divide each side by '24'. a = 2.166666667 Simplifying a = 2.166666667
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