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Simplifying -4k + 37 = 2k + -41 Reorder the terms: 37 + -4k = 2k + -41 Reorder the terms: 37 + -4k = -41 + 2k Solving 37 + -4k = -41 + 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. 37 + -4k + -2k = -41 + 2k + -2k Combine like terms: -4k + -2k = -6k 37 + -6k = -41 + 2k + -2k Combine like terms: 2k + -2k = 0 37 + -6k = -41 + 0 37 + -6k = -41 Add '-37' to each side of the equation. 37 + -37 + -6k = -41 + -37 Combine like terms: 37 + -37 = 0 0 + -6k = -41 + -37 -6k = -41 + -37 Combine like terms: -41 + -37 = -78 -6k = -78 Divide each side by '-6'. k = 13 Simplifying k = 13
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