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Simplifying 3(3k + 1.3) + 4k = 14k + -16 + 7k + -4 + -2k Reorder the terms: 3(1.3 + 3k) + 4k = 14k + -16 + 7k + -4 + -2k (1.3 * 3 + 3k * 3) + 4k = 14k + -16 + 7k + -4 + -2k (3.9 + 9k) + 4k = 14k + -16 + 7k + -4 + -2k Combine like terms: 9k + 4k = 13k 3.9 + 13k = 14k + -16 + 7k + -4 + -2k Reorder the terms: 3.9 + 13k = -16 + -4 + 14k + 7k + -2k Combine like terms: -16 + -4 = -20 3.9 + 13k = -20 + 14k + 7k + -2k Combine like terms: 14k + 7k = 21k 3.9 + 13k = -20 + 21k + -2k Combine like terms: 21k + -2k = 19k 3.9 + 13k = -20 + 19k Solving 3.9 + 13k = -20 + 19k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19k' to each side of the equation. 3.9 + 13k + -19k = -20 + 19k + -19k Combine like terms: 13k + -19k = -6k 3.9 + -6k = -20 + 19k + -19k Combine like terms: 19k + -19k = 0 3.9 + -6k = -20 + 0 3.9 + -6k = -20 Add '-3.9' to each side of the equation. 3.9 + -3.9 + -6k = -20 + -3.9 Combine like terms: 3.9 + -3.9 = 0.0 0.0 + -6k = -20 + -3.9 -6k = -20 + -3.9 Combine like terms: -20 + -3.9 = -23.9 -6k = -23.9 Divide each side by '-6'. k = 3.983333333 Simplifying k = 3.983333333
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