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Simplifying 0.33k + -2 = 0.16k + 5 Reorder the terms: -2 + 0.33k = 0.16k + 5 Reorder the terms: -2 + 0.33k = 5 + 0.16k Solving -2 + 0.33k = 5 + 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. -2 + 0.33k + -0.16k = 5 + 0.16k + -0.16k Combine like terms: 0.33k + -0.16k = 0.17k -2 + 0.17k = 5 + 0.16k + -0.16k Combine like terms: 0.16k + -0.16k = 0.00 -2 + 0.17k = 5 + 0.00 -2 + 0.17k = 5 Add '2' to each side of the equation. -2 + 2 + 0.17k = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 0.17k = 5 + 2 0.17k = 5 + 2 Combine like terms: 5 + 2 = 7 0.17k = 7 Divide each side by '0.17'. k = 41.17647059 Simplifying k = 41.17647059
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