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Simplifying -5(2k + -8) = -32 + 2k Reorder the terms: -5(-8 + 2k) = -32 + 2k (-8 * -5 + 2k * -5) = -32 + 2k (40 + -10k) = -32 + 2k Solving 40 + -10k = -32 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 40 + -10k + -2k = -32 + 2k + -2k Combine like terms: -10k + -2k = -12k 40 + -12k = -32 + 2k + -2k Combine like terms: 2k + -2k = 0 40 + -12k = -32 + 0 40 + -12k = -32 Add '-40' to each side of the equation. 40 + -40 + -12k = -32 + -40 Combine like terms: 40 + -40 = 0 0 + -12k = -32 + -40 -12k = -32 + -40 Combine like terms: -32 + -40 = -72 -12k = -72 Divide each side by '-12'. k = 6 Simplifying k = 6
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