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Simplifying 5 + -3k + k = 2k + 1 Combine like terms: -3k + k = -2k 5 + -2k = 2k + 1 Reorder the terms: 5 + -2k = 1 + 2k Solving 5 + -2k = 1 + 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. 5 + -2k + -2k = 1 + 2k + -2k Combine like terms: -2k + -2k = -4k 5 + -4k = 1 + 2k + -2k Combine like terms: 2k + -2k = 0 5 + -4k = 1 + 0 5 + -4k = 1 Add '-5' to each side of the equation. 5 + -5 + -4k = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -4k = 1 + -5 -4k = 1 + -5 Combine like terms: 1 + -5 = -4 -4k = -4 Divide each side by '-4'. k = 1 Simplifying k = 1
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