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Simplifying 3(8a + -2) + -3(2a + 4) = 0 Reorder the terms: 3(-2 + 8a) + -3(2a + 4) = 0 (-2 * 3 + 8a * 3) + -3(2a + 4) = 0 (-6 + 24a) + -3(2a + 4) = 0 Reorder the terms: -6 + 24a + -3(4 + 2a) = 0 -6 + 24a + (4 * -3 + 2a * -3) = 0 -6 + 24a + (-12 + -6a) = 0 Reorder the terms: -6 + -12 + 24a + -6a = 0 Combine like terms: -6 + -12 = -18 -18 + 24a + -6a = 0 Combine like terms: 24a + -6a = 18a -18 + 18a = 0 Solving -18 + 18a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 18a = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 18a = 0 + 18 18a = 0 + 18 Combine like terms: 0 + 18 = 18 18a = 18 Divide each side by '18'. a = 1 Simplifying a = 1
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