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Simplifying -5(-9a + 3) = -4(-5 + -8a) Reorder the terms: -5(3 + -9a) = -4(-5 + -8a) (3 * -5 + -9a * -5) = -4(-5 + -8a) (-15 + 45a) = -4(-5 + -8a) -15 + 45a = (-5 * -4 + -8a * -4) -15 + 45a = (20 + 32a) Solving -15 + 45a = 20 + 32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32a' to each side of the equation. -15 + 45a + -32a = 20 + 32a + -32a Combine like terms: 45a + -32a = 13a -15 + 13a = 20 + 32a + -32a Combine like terms: 32a + -32a = 0 -15 + 13a = 20 + 0 -15 + 13a = 20 Add '15' to each side of the equation. -15 + 15 + 13a = 20 + 15 Combine like terms: -15 + 15 = 0 0 + 13a = 20 + 15 13a = 20 + 15 Combine like terms: 20 + 15 = 35 13a = 35 Divide each side by '13'. a = 2.692307692 Simplifying a = 2.692307692
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