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Simplifying 7k + -2(3k + 7) = 5 + 14k Reorder the terms: 7k + -2(7 + 3k) = 5 + 14k 7k + (7 * -2 + 3k * -2) = 5 + 14k 7k + (-14 + -6k) = 5 + 14k Reorder the terms: -14 + 7k + -6k = 5 + 14k Combine like terms: 7k + -6k = 1k -14 + 1k = 5 + 14k Solving -14 + 1k = 5 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. -14 + 1k + -14k = 5 + 14k + -14k Combine like terms: 1k + -14k = -13k -14 + -13k = 5 + 14k + -14k Combine like terms: 14k + -14k = 0 -14 + -13k = 5 + 0 -14 + -13k = 5 Add '14' to each side of the equation. -14 + 14 + -13k = 5 + 14 Combine like terms: -14 + 14 = 0 0 + -13k = 5 + 14 -13k = 5 + 14 Combine like terms: 5 + 14 = 19 -13k = 19 Divide each side by '-13'. k = -1.461538462 Simplifying k = -1.461538462
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