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Simplifying 8(4a + -4) = -5k + -32 Reorder the terms: 8(-4 + 4a) = -5k + -32 (-4 * 8 + 4a * 8) = -5k + -32 (-32 + 32a) = -5k + -32 Reorder the terms: -32 + 32a = -32 + -5k Add '32' to each side of the equation. -32 + 32 + 32a = -32 + 32 + -5k Combine like terms: -32 + 32 = 0 0 + 32a = -32 + 32 + -5k 32a = -32 + 32 + -5k Combine like terms: -32 + 32 = 0 32a = 0 + -5k 32a = -5k Solving 32a = -5k Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '32'. a = -0.15625k Simplifying a = -0.15625k
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