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Simplifying -3.82 + -2.6k = 3.95 + 1.3k + -1.8k Combine like terms: 1.3k + -1.8k = -0.5k -3.82 + -2.6k = 3.95 + -0.5k Solving -3.82 + -2.6k = 3.95 + -0.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.5k' to each side of the equation. -3.82 + -2.6k + 0.5k = 3.95 + -0.5k + 0.5k Combine like terms: -2.6k + 0.5k = -2.1k -3.82 + -2.1k = 3.95 + -0.5k + 0.5k Combine like terms: -0.5k + 0.5k = 0.0 -3.82 + -2.1k = 3.95 + 0.0 -3.82 + -2.1k = 3.95 Add '3.82' to each side of the equation. -3.82 + 3.82 + -2.1k = 3.95 + 3.82 Combine like terms: -3.82 + 3.82 = 0.00 0.00 + -2.1k = 3.95 + 3.82 -2.1k = 3.95 + 3.82 Combine like terms: 3.95 + 3.82 = 7.77 -2.1k = 7.77 Divide each side by '-2.1'. k = -3.7 Simplifying k = -3.7
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