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Simplifying 6(-4a + 2) = -8(7a + 8) + -6a Reorder the terms: 6(2 + -4a) = -8(7a + 8) + -6a (2 * 6 + -4a * 6) = -8(7a + 8) + -6a (12 + -24a) = -8(7a + 8) + -6a Reorder the terms: 12 + -24a = -8(8 + 7a) + -6a 12 + -24a = (8 * -8 + 7a * -8) + -6a 12 + -24a = (-64 + -56a) + -6a Combine like terms: -56a + -6a = -62a 12 + -24a = -64 + -62a Solving 12 + -24a = -64 + -62a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '62a' to each side of the equation. 12 + -24a + 62a = -64 + -62a + 62a Combine like terms: -24a + 62a = 38a 12 + 38a = -64 + -62a + 62a Combine like terms: -62a + 62a = 0 12 + 38a = -64 + 0 12 + 38a = -64 Add '-12' to each side of the equation. 12 + -12 + 38a = -64 + -12 Combine like terms: 12 + -12 = 0 0 + 38a = -64 + -12 38a = -64 + -12 Combine like terms: -64 + -12 = -76 38a = -76 Divide each side by '38'. a = -2 Simplifying a = -2
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