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