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Simplifying 0.5k + -6 = -0.16k Reorder the terms: -6 + 0.5k = -0.16k Solving -6 + 0.5k = -0.16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.16k' to each side of the equation. -6 + 0.5k + 0.16k = -0.16k + 0.16k Combine like terms: 0.5k + 0.16k = 0.66k -6 + 0.66k = -0.16k + 0.16k Combine like terms: -0.16k + 0.16k = 0.00 -6 + 0.66k = 0.00 Add '6' to each side of the equation. -6 + 6 + 0.66k = 0.00 + 6 Combine like terms: -6 + 6 = 0 0 + 0.66k = 0.00 + 6 0.66k = 0.00 + 6 Combine like terms: 0.00 + 6 = 6 0.66k = 6 Divide each side by '0.66'. k = 9.090909091 Simplifying k = 9.090909091
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