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Simplifying -4(a + 4) + 4(8 + -6a) = -40 Reorder the terms: -4(4 + a) + 4(8 + -6a) = -40 (4 * -4 + a * -4) + 4(8 + -6a) = -40 (-16 + -4a) + 4(8 + -6a) = -40 -16 + -4a + (8 * 4 + -6a * 4) = -40 -16 + -4a + (32 + -24a) = -40 Reorder the terms: -16 + 32 + -4a + -24a = -40 Combine like terms: -16 + 32 = 16 16 + -4a + -24a = -40 Combine like terms: -4a + -24a = -28a 16 + -28a = -40 Solving 16 + -28a = -40 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -28a = -40 + -16 Combine like terms: 16 + -16 = 0 0 + -28a = -40 + -16 -28a = -40 + -16 Combine like terms: -40 + -16 = -56 -28a = -56 Divide each side by '-28'. a = 2 Simplifying a = 2
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