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Simplifying -4(8 + -6k) = 37 + k (8 * -4 + -6k * -4) = 37 + k (-32 + 24k) = 37 + k Solving -32 + 24k = 37 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -32 + 24k + -1k = 37 + k + -1k Combine like terms: 24k + -1k = 23k -32 + 23k = 37 + k + -1k Combine like terms: k + -1k = 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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