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Simplifying -8(-2k + -3) = 37 + 3k Reorder the terms: -8(-3 + -2k) = 37 + 3k (-3 * -8 + -2k * -8) = 37 + 3k (24 + 16k) = 37 + 3k Solving 24 + 16k = 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. 24 + 16k + -3k = 37 + 3k + -3k Combine like terms: 16k + -3k = 13k 24 + 13k = 37 + 3k + -3k Combine like terms: 3k + -3k = 0 24 + 13k = 37 + 0 24 + 13k = 37 Add '-24' to each side of the equation. 24 + -24 + 13k = 37 + -24 Combine like terms: 24 + -24 = 0 0 + 13k = 37 + -24 13k = 37 + -24 Combine like terms: 37 + -24 = 13 13k = 13 Divide each side by '13'. k = 1 Simplifying k = 1
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