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Simplifying 8(4k + -4) = -5k + -31 Reorder the terms: 8(-4 + 4k) = -5k + -31 (-4 * 8 + 4k * 8) = -5k + -31 (-32 + 32k) = -5k + -31 Reorder the terms: -32 + 32k = -31 + -5k Solving -32 + 32k = -31 + -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. -32 + 32k + 5k = -31 + -5k + 5k Combine like terms: 32k + 5k = 37k -32 + 37k = -31 + -5k + 5k Combine like terms: -5k + 5k = 0 -32 + 37k = -31 + 0 -32 + 37k = -31 Add '32' to each side of the equation. -32 + 32 + 37k = -31 + 32 Combine like terms: -32 + 32 = 0 0 + 37k = -31 + 32 37k = -31 + 32 Combine like terms: -31 + 32 = 1 37k = 1 Divide each side by '37'. k = 0.02702702703 Simplifying k = 0.02702702703
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