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Simplifying 8(4k + -3) = -5k + -32 Reorder the terms: 8(-3 + 4k) = -5k + -32 (-3 * 8 + 4k * 8) = -5k + -32 (-24 + 32k) = -5k + -32 Reorder the terms: -24 + 32k = -32 + -5k Solving -24 + 32k = -32 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -24 + 32k + 5k = -32 + -5k + 5k Combine like terms: 32k + 5k = 37k -24 + 37k = -32 + -5k + 5k Combine like terms: -5k + 5k = 0 -24 + 37k = -32 + 0 -24 + 37k = -32 Add '24' to each side of the equation. -24 + 24 + 37k = -32 + 24 Combine like terms: -24 + 24 = 0 0 + 37k = -32 + 24 37k = -32 + 24 Combine like terms: -32 + 24 = -8 37k = -8 Divide each side by '37'. k = -0.2162162162 Simplifying k = -0.2162162162
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