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Simplifying 8(5k + -8) = 32 + 8k Reorder the terms: 8(-8 + 5k) = 32 + 8k (-8 * 8 + 5k * 8) = 32 + 8k (-64 + 40k) = 32 + 8k Solving -64 + 40k = 32 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -64 + 40k + -8k = 32 + 8k + -8k Combine like terms: 40k + -8k = 32k -64 + 32k = 32 + 8k + -8k Combine like terms: 8k + -8k = 0 -64 + 32k = 32 + 0 -64 + 32k = 32 Add '64' to each side of the equation. -64 + 64 + 32k = 32 + 64 Combine like terms: -64 + 64 = 0 0 + 32k = 32 + 64 32k = 32 + 64 Combine like terms: 32 + 64 = 96 32k = 96 Divide each side by '32'. k = 3 Simplifying k = 3
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