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Simplifying 3(8a + -2) = -3(4a + 2) Reorder the terms: 3(-2 + 8a) = -3(4a + 2) (-2 * 3 + 8a * 3) = -3(4a + 2) (-6 + 24a) = -3(4a + 2) Reorder the terms: -6 + 24a = -3(2 + 4a) -6 + 24a = (2 * -3 + 4a * -3) -6 + 24a = (-6 + -12a) Add '6' to each side of the equation. -6 + 6 + 24a = -6 + 6 + -12a Combine like terms: -6 + 6 = 0 0 + 24a = -6 + 6 + -12a 24a = -6 + 6 + -12a Combine like terms: -6 + 6 = 0 24a = 0 + -12a 24a = -12a Solving 24a = -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. 24a + 12a = -12a + 12a Combine like terms: 24a + 12a = 36a 36a = -12a + 12a Combine like terms: -12a + 12a = 0 36a = 0 Divide each side by '36'. a = 0 Simplifying a = 0
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