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Simplifying 4(8 + 5k) = -37 + -3k (8 * 4 + 5k * 4) = -37 + -3k (32 + 20k) = -37 + -3k Solving 32 + 20k = -37 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 32 + 20k + 3k = -37 + -3k + 3k Combine like terms: 20k + 3k = 23k 32 + 23k = -37 + -3k + 3k Combine like terms: -3k + 3k = 0 32 + 23k = -37 + 0 32 + 23k = -37 Add '-32' to each side of the equation. 32 + -32 + 23k = -37 + -32 Combine like terms: 32 + -32 = 0 0 + 23k = -37 + -32 23k = -37 + -32 Combine like terms: -37 + -32 = -69 23k = -69 Divide each side by '23'. k = -3 Simplifying k = -3
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