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Simplifying 4k + 1 = 13 + 6k + -3 + 5 Reorder the terms: 1 + 4k = 13 + 6k + -3 + 5 Reorder the terms: 1 + 4k = 13 + -3 + 5 + 6k Combine like terms: 13 + -3 = 10 1 + 4k = 10 + 5 + 6k Combine like terms: 10 + 5 = 15 1 + 4k = 15 + 6k Solving 1 + 4k = 15 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 1 + 4k + -6k = 15 + 6k + -6k Combine like terms: 4k + -6k = -2k 1 + -2k = 15 + 6k + -6k Combine like terms: 6k + -6k = 0 1 + -2k = 15 + 0 1 + -2k = 15 Add '-1' to each side of the equation. 1 + -1 + -2k = 15 + -1 Combine like terms: 1 + -1 = 0 0 + -2k = 15 + -1 -2k = 15 + -1 Combine like terms: 15 + -1 = 14 -2k = 14 Divide each side by '-2'. k = -7 Simplifying k = -7
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