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Simplifying 5k + 5 = (6k + -14) + 68 Reorder the terms: 5 + 5k = (6k + -14) + 68 Reorder the terms: 5 + 5k = (-14 + 6k) + 68 Remove parenthesis around (-14 + 6k) 5 + 5k = -14 + 6k + 68 Reorder the terms: 5 + 5k = -14 + 68 + 6k Combine like terms: -14 + 68 = 54 5 + 5k = 54 + 6k Solving 5 + 5k = 54 + 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. 5 + 5k + -6k = 54 + 6k + -6k Combine like terms: 5k + -6k = -1k 5 + -1k = 54 + 6k + -6k Combine like terms: 6k + -6k = 0 5 + -1k = 54 + 0 5 + -1k = 54 Add '-5' to each side of the equation. 5 + -5 + -1k = 54 + -5 Combine like terms: 5 + -5 = 0 0 + -1k = 54 + -5 -1k = 54 + -5 Combine like terms: 54 + -5 = 49 -1k = 49 Divide each side by '-1'. k = -49 Simplifying k = -49
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