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Simplifying -15.7 = k + -19.9 Reorder the terms: -15.7 = -19.9 + k Solving -15.7 = -19.9 + 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. -15.7 + -1k = -19.9 + k + -1k Combine like terms: k + -1k = 0 -15.7 + -1k = -19.9 + 0 -15.7 + -1k = -19.9 Add '15.7' to each side of the equation. -15.7 + 15.7 + -1k = -19.9 + 15.7 Combine like terms: -15.7 + 15.7 = 0.0 0.0 + -1k = -19.9 + 15.7 -1k = -19.9 + 15.7 Combine like terms: -19.9 + 15.7 = -4.2 -1k = -4.2 Divide each side by '-1'. k = 4.2 Simplifying k = 4.2
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