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Simplifying (6 + -1k) + 4 = (9 + k) + -21 Remove parenthesis around (6 + -1k) 6 + -1k + 4 = (9 + k) + -21 Reorder the terms: 6 + 4 + -1k = (9 + k) + -21 Combine like terms: 6 + 4 = 10 10 + -1k = (9 + k) + -21 Remove parenthesis around (9 + k) 10 + -1k = 9 + k + -21 Reorder the terms: 10 + -1k = 9 + -21 + k Combine like terms: 9 + -21 = -12 10 + -1k = -12 + k Solving 10 + -1k = -12 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 10 + -1k + -1k = -12 + k + -1k Combine like terms: -1k + -1k = -2k 10 + -2k = -12 + k + -1k Combine like terms: k + -1k = 0 10 + -2k = -12 + 0 10 + -2k = -12 Add '-10' to each side of the equation. 10 + -10 + -2k = -12 + -10 Combine like terms: 10 + -10 = 0 0 + -2k = -12 + -10 -2k = -12 + -10 Combine like terms: -12 + -10 = -22 -2k = -22 Divide each side by '-2'. k = 11 Simplifying k = 11
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