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Simplifying 0.25k + 0.70 = 0.78k + -0.60 Reorder the terms: 0.70 + 0.25k = 0.78k + -0.60 Reorder the terms: 0.70 + 0.25k = -0.60 + 0.78k Solving 0.70 + 0.25k = -0.60 + 0.78k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.78k' to each side of the equation. 0.70 + 0.25k + -0.78k = -0.60 + 0.78k + -0.78k Combine like terms: 0.25k + -0.78k = -0.53k 0.70 + -0.53k = -0.60 + 0.78k + -0.78k Combine like terms: 0.78k + -0.78k = 0.00 0.70 + -0.53k = -0.60 + 0.00 0.70 + -0.53k = -0.60 Add '-0.70' to each side of the equation. 0.70 + -0.70 + -0.53k = -0.60 + -0.70 Combine like terms: 0.70 + -0.70 = 0.00 0.00 + -0.53k = -0.60 + -0.70 -0.53k = -0.60 + -0.70 Combine like terms: -0.60 + -0.70 = -1.3 -0.53k = -1.3 Divide each side by '-0.53'. k = 2.452830189 Simplifying k = 2.452830189
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