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Simplifying 8(4a + 2) = -27.5 + -3.5a Reorder the terms: 8(2 + 4a) = -27.5 + -3.5a (2 * 8 + 4a * 8) = -27.5 + -3.5a (16 + 32a) = -27.5 + -3.5a Solving 16 + 32a = -27.5 + -3.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3.5a' to each side of the equation. 16 + 32a + 3.5a = -27.5 + -3.5a + 3.5a Combine like terms: 32a + 3.5a = 35.5a 16 + 35.5a = -27.5 + -3.5a + 3.5a Combine like terms: -3.5a + 3.5a = 0.0 16 + 35.5a = -27.5 + 0.0 16 + 35.5a = -27.5 Add '-16' to each side of the equation. 16 + -16 + 35.5a = -27.5 + -16 Combine like terms: 16 + -16 = 0 0 + 35.5a = -27.5 + -16 35.5a = -27.5 + -16 Combine like terms: -27.5 + -16 = -43.5 35.5a = -43.5 Divide each side by '35.5'. a = -1.225352113 Simplifying a = -1.225352113
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