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Simplifying 8(4k + -4) = -5k + -33 Reorder the terms: 8(-4 + 4k) = -5k + -33 (-4 * 8 + 4k * 8) = -5k + -33 (-32 + 32k) = -5k + -33 Reorder the terms: -32 + 32k = -33 + -5k Solving -32 + 32k = -33 + -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 = -33 + -5k + 5k Combine like terms: 32k + 5k = 37k -32 + 37k = -33 + -5k + 5k Combine like terms: -5k + 5k = 0 -32 + 37k = -33 + 0 -32 + 37k = -33 Add '32' to each side of the equation. -32 + 32 + 37k = -33 + 32 Combine like terms: -32 + 32 = 0 0 + 37k = -33 + 32 37k = -33 + 32 Combine like terms: -33 + 32 = -1 37k = -1 Divide each side by '37'. k = -0.02702702703 Simplifying k = -0.02702702703
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