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Simplifying 41 + -1k = 3(k + -5) Reorder the terms: 41 + -1k = 3(-5 + k) 41 + -1k = (-5 * 3 + k * 3) 41 + -1k = (-15 + 3k) Solving 41 + -1k = -15 + 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. 41 + -1k + -3k = -15 + 3k + -3k Combine like terms: -1k + -3k = -4k 41 + -4k = -15 + 3k + -3k Combine like terms: 3k + -3k = 0 41 + -4k = -15 + 0 41 + -4k = -15 Add '-41' to each side of the equation. 41 + -41 + -4k = -15 + -41 Combine like terms: 41 + -41 = 0 0 + -4k = -15 + -41 -4k = -15 + -41 Combine like terms: -15 + -41 = -56 -4k = -56 Divide each side by '-4'. k = 14 Simplifying k = 14
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