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Simplifying -2 + -4(k + -8) = 37 + -3k Reorder the terms: -2 + -4(-8 + k) = 37 + -3k -2 + (-8 * -4 + k * -4) = 37 + -3k -2 + (32 + -4k) = 37 + -3k Combine like terms: -2 + 32 = 30 30 + -4k = 37 + -3k Solving 30 + -4k = 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. 30 + -4k + 3k = 37 + -3k + 3k Combine like terms: -4k + 3k = -1k 30 + -1k = 37 + -3k + 3k Combine like terms: -3k + 3k = 0 30 + -1k = 37 + 0 30 + -1k = 37 Add '-30' to each side of the equation. 30 + -30 + -1k = 37 + -30 Combine like terms: 30 + -30 = 0 0 + -1k = 37 + -30 -1k = 37 + -30 Combine like terms: 37 + -30 = 7 -1k = 7 Divide each side by '-1'. k = -7 Simplifying k = -7
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