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Simplifying 1.9k + 6 = 2.8k + 13 Reorder the terms: 6 + 1.9k = 2.8k + 13 Reorder the terms: 6 + 1.9k = 13 + 2.8k Solving 6 + 1.9k = 13 + 2.8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2.8k' to each side of the equation. 6 + 1.9k + -2.8k = 13 + 2.8k + -2.8k Combine like terms: 1.9k + -2.8k = -0.9k 6 + -0.9k = 13 + 2.8k + -2.8k Combine like terms: 2.8k + -2.8k = 0.0 6 + -0.9k = 13 + 0.0 6 + -0.9k = 13 Add '-6' to each side of the equation. 6 + -6 + -0.9k = 13 + -6 Combine like terms: 6 + -6 = 0 0 + -0.9k = 13 + -6 -0.9k = 13 + -6 Combine like terms: 13 + -6 = 7 -0.9k = 7 Divide each side by '-0.9'. k = -7.777777778 Simplifying k = -7.777777778
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