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Simplifying 5(k + 2) = -11 + 8k Reorder the terms: 5(2 + k) = -11 + 8k (2 * 5 + k * 5) = -11 + 8k (10 + 5k) = -11 + 8k Solving 10 + 5k = -11 + 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. 10 + 5k + -8k = -11 + 8k + -8k Combine like terms: 5k + -8k = -3k 10 + -3k = -11 + 8k + -8k Combine like terms: 8k + -8k = 0 10 + -3k = -11 + 0 10 + -3k = -11 Add '-10' to each side of the equation. 10 + -10 + -3k = -11 + -10 Combine like terms: 10 + -10 = 0 0 + -3k = -11 + -10 -3k = -11 + -10 Combine like terms: -11 + -10 = -21 -3k = -21 Divide each side by '-3'. k = 7 Simplifying k = 7
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