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Simplifying -5(3 + -3a) + -8(6a + 5) = 32 (3 * -5 + -3a * -5) + -8(6a + 5) = 32 (-15 + 15a) + -8(6a + 5) = 32 Reorder the terms: -15 + 15a + -8(5 + 6a) = 32 -15 + 15a + (5 * -8 + 6a * -8) = 32 -15 + 15a + (-40 + -48a) = 32 Reorder the terms: -15 + -40 + 15a + -48a = 32 Combine like terms: -15 + -40 = -55 -55 + 15a + -48a = 32 Combine like terms: 15a + -48a = -33a -55 + -33a = 32 Solving -55 + -33a = 32 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + -33a = 32 + 55 Combine like terms: -55 + 55 = 0 0 + -33a = 32 + 55 -33a = 32 + 55 Combine like terms: 32 + 55 = 87 -33a = 87 Divide each side by '-33'. a = -2.636363636 Simplifying a = -2.636363636
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