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Simplifying 8(1 + 3a) + 4(-6 + -2) = -6a + 2a (1 * 8 + 3a * 8) + 4(-6 + -2) = -6a + 2a (8 + 24a) + 4(-6 + -2) = -6a + 2a Combine like terms: -6 + -2 = -8 8 + 24a + 4(-8) = -6a + 2a Multiply 4 * -8 8 + 24a + -32 = -6a + 2a Reorder the terms: 8 + -32 + 24a = -6a + 2a Combine like terms: 8 + -32 = -24 -24 + 24a = -6a + 2a Combine like terms: -6a + 2a = -4a -24 + 24a = -4a Solving -24 + 24a = -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -24 + 24a + 4a = -4a + 4a Combine like terms: 24a + 4a = 28a -24 + 28a = -4a + 4a Combine like terms: -4a + 4a = 0 -24 + 28a = 0 Add '24' to each side of the equation. -24 + 24 + 28a = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 28a = 0 + 24 28a = 0 + 24 Combine like terms: 0 + 24 = 24 28a = 24 Divide each side by '28'. a = 0.8571428571 Simplifying a = 0.8571428571
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