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Simplifying -3(1 + -3a) = -8a + 3(-1 + -4a) (1 * -3 + -3a * -3) = -8a + 3(-1 + -4a) (-3 + 9a) = -8a + 3(-1 + -4a) -3 + 9a = -8a + (-1 * 3 + -4a * 3) -3 + 9a = -8a + (-3 + -12a) Reorder the terms: -3 + 9a = -3 + -8a + -12a Combine like terms: -8a + -12a = -20a -3 + 9a = -3 + -20a Add '3' to each side of the equation. -3 + 3 + 9a = -3 + 3 + -20a Combine like terms: -3 + 3 = 0 0 + 9a = -3 + 3 + -20a 9a = -3 + 3 + -20a Combine like terms: -3 + 3 = 0 9a = 0 + -20a 9a = -20a Solving 9a = -20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20a' to each side of the equation. 9a + 20a = -20a + 20a Combine like terms: 9a + 20a = 29a 29a = -20a + 20a Combine like terms: -20a + 20a = 0 29a = 0 Divide each side by '29'. a = 0 Simplifying a = 0
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