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Simplifying -6(-3a) + -8(6a + 5) = 32 Remove parenthesis around (-3a) -6 * -3a + -8(6a + 5) = 32 Multiply -6 * -3 18a + -8(6a + 5) = 32 Reorder the terms: 18a + -8(5 + 6a) = 32 18a + (5 * -8 + 6a * -8) = 32 18a + (-40 + -48a) = 32 Reorder the terms: -40 + 18a + -48a = 32 Combine like terms: 18a + -48a = -30a -40 + -30a = 32 Solving -40 + -30a = 32 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -30a = 32 + 40 Combine like terms: -40 + 40 = 0 0 + -30a = 32 + 40 -30a = 32 + 40 Combine like terms: 32 + 40 = 72 -30a = 72 Divide each side by '-30'. a = -2.4 Simplifying a = -2.4
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