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