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Simplifying 8[4k + -4] = 5k + -32 Reorder the terms: 8[-4 + 4k] = 5k + -32 [-4 * 8 + 4k * 8] = 5k + -32 [-32 + 32k] = 5k + -32 Reorder the terms: -32 + 32k = -32 + 5k Add '32' to each side of the equation. -32 + 32 + 32k = -32 + 32 + 5k Combine like terms: -32 + 32 = 0 0 + 32k = -32 + 32 + 5k 32k = -32 + 32 + 5k Combine like terms: -32 + 32 = 0 32k = 0 + 5k 32k = 5k Solving 32k = 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. 32k + -5k = 5k + -5k Combine like terms: 32k + -5k = 27k 27k = 5k + -5k Combine like terms: 5k + -5k = 0 27k = 0 Divide each side by '27'. k = 0 Simplifying k = 0
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