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Simplifying 13k + (k + 11) = 8k + -7 Reorder the terms: 13k + (11 + k) = 8k + -7 Remove parenthesis around (11 + k) 13k + 11 + k = 8k + -7 Reorder the terms: 11 + 13k + k = 8k + -7 Combine like terms: 13k + k = 14k 11 + 14k = 8k + -7 Reorder the terms: 11 + 14k = -7 + 8k Solving 11 + 14k = -7 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 11 + 14k + -8k = -7 + 8k + -8k Combine like terms: 14k + -8k = 6k 11 + 6k = -7 + 8k + -8k Combine like terms: 8k + -8k = 0 11 + 6k = -7 + 0 11 + 6k = -7 Add '-11' to each side of the equation. 11 + -11 + 6k = -7 + -11 Combine like terms: 11 + -11 = 0 0 + 6k = -7 + -11 6k = -7 + -11 Combine like terms: -7 + -11 = -18 6k = -18 Divide each side by '6'. k = -3 Simplifying k = -3
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