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Simplifying 0.93k + -8.79 = 0.38k + -12.2 Reorder the terms: -8.79 + 0.93k = 0.38k + -12.2 Reorder the terms: -8.79 + 0.93k = -12.2 + 0.38k Solving -8.79 + 0.93k = -12.2 + 0.38k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.38k' to each side of the equation. -8.79 + 0.93k + -0.38k = -12.2 + 0.38k + -0.38k Combine like terms: 0.93k + -0.38k = 0.55k -8.79 + 0.55k = -12.2 + 0.38k + -0.38k Combine like terms: 0.38k + -0.38k = 0.00 -8.79 + 0.55k = -12.2 + 0.00 -8.79 + 0.55k = -12.2 Add '8.79' to each side of the equation. -8.79 + 8.79 + 0.55k = -12.2 + 8.79 Combine like terms: -8.79 + 8.79 = 0.00 0.00 + 0.55k = -12.2 + 8.79 0.55k = -12.2 + 8.79 Combine like terms: -12.2 + 8.79 = -3.41 0.55k = -3.41 Divide each side by '0.55'. k = -6.2 Simplifying k = -6.2
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