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Simplifying -7.7 = k + -2.6 + -5.8 Reorder the terms: -7.7 = -2.6 + -5.8 + k Combine like terms: -2.6 + -5.8 = -8.4 -7.7 = -8.4 + k Solving -7.7 = -8.4 + 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. -7.7 + -1k = -8.4 + k + -1k Combine like terms: k + -1k = 0 -7.7 + -1k = -8.4 + 0 -7.7 + -1k = -8.4 Add '7.7' to each side of the equation. -7.7 + 7.7 + -1k = -8.4 + 7.7 Combine like terms: -7.7 + 7.7 = 0.0 0.0 + -1k = -8.4 + 7.7 -1k = -8.4 + 7.7 Combine like terms: -8.4 + 7.7 = -0.7 -1k = -0.7 Divide each side by '-1'. k = 0.7 Simplifying k = 0.7
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