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Simplifying -8 + -4(3a + -8) = -3a + -7(2a + 8) Reorder the terms: -8 + -4(-8 + 3a) = -3a + -7(2a + 8) -8 + (-8 * -4 + 3a * -4) = -3a + -7(2a + 8) -8 + (32 + -12a) = -3a + -7(2a + 8) Combine like terms: -8 + 32 = 24 24 + -12a = -3a + -7(2a + 8) Reorder the terms: 24 + -12a = -3a + -7(8 + 2a) 24 + -12a = -3a + (8 * -7 + 2a * -7) 24 + -12a = -3a + (-56 + -14a) Reorder the terms: 24 + -12a = -56 + -3a + -14a Combine like terms: -3a + -14a = -17a 24 + -12a = -56 + -17a Solving 24 + -12a = -56 + -17a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '17a' to each side of the equation. 24 + -12a + 17a = -56 + -17a + 17a Combine like terms: -12a + 17a = 5a 24 + 5a = -56 + -17a + 17a Combine like terms: -17a + 17a = 0 24 + 5a = -56 + 0 24 + 5a = -56 Add '-24' to each side of the equation. 24 + -24 + 5a = -56 + -24 Combine like terms: 24 + -24 = 0 0 + 5a = -56 + -24 5a = -56 + -24 Combine like terms: -56 + -24 = -80 5a = -80 Divide each side by '5'. a = -16 Simplifying a = -16
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