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Simplifying 10 + -1k + 3k = 4k + 2 Combine like terms: -1k + 3k = 2k 10 + 2k = 4k + 2 Reorder the terms: 10 + 2k = 2 + 4k Solving 10 + 2k = 2 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 10 + 2k + -4k = 2 + 4k + -4k Combine like terms: 2k + -4k = -2k 10 + -2k = 2 + 4k + -4k Combine like terms: 4k + -4k = 0 10 + -2k = 2 + 0 10 + -2k = 2 Add '-10' to each side of the equation. 10 + -10 + -2k = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -2k = 2 + -10 -2k = 2 + -10 Combine like terms: 2 + -10 = -8 -2k = -8 Divide each side by '-2'. k = 4 Simplifying k = 4
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