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Simplifying 14(k + -11) = -76 + k Reorder the terms: 14(-11 + k) = -76 + k (-11 * 14 + k * 14) = -76 + k (-154 + 14k) = -76 + k Solving -154 + 14k = -76 + 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. -154 + 14k + -1k = -76 + k + -1k Combine like terms: 14k + -1k = 13k -154 + 13k = -76 + k + -1k Combine like terms: k + -1k = 0 -154 + 13k = -76 + 0 -154 + 13k = -76 Add '154' to each side of the equation. -154 + 154 + 13k = -76 + 154 Combine like terms: -154 + 154 = 0 0 + 13k = -76 + 154 13k = -76 + 154 Combine like terms: -76 + 154 = 78 13k = 78 Divide each side by '13'. k = 6 Simplifying k = 6
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