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Simplifying 8(4k + -1) = -5k + -32 Reorder the terms: 8(-1 + 4k) = -5k + -32 (-1 * 8 + 4k * 8) = -5k + -32 (-8 + 32k) = -5k + -32 Reorder the terms: -8 + 32k = -32 + -5k Solving -8 + 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. -8 + 32k + 5k = -32 + -5k + 5k Combine like terms: 32k + 5k = 37k -8 + 37k = -32 + -5k + 5k Combine like terms: -5k + 5k = 0 -8 + 37k = -32 + 0 -8 + 37k = -32 Add '8' to each side of the equation. -8 + 8 + 37k = -32 + 8 Combine like terms: -8 + 8 = 0 0 + 37k = -32 + 8 37k = -32 + 8 Combine like terms: -32 + 8 = -24 37k = -24 Divide each side by '37'. k = -0.6486486486 Simplifying k = -0.6486486486
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