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Simplifying -0.40k + -10 = 0.16k + -6 Reorder the terms: -10 + -0.40k = 0.16k + -6 Reorder the terms: -10 + -0.40k = -6 + 0.16k Solving -10 + -0.40k = -6 + 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. -10 + -0.40k + -0.16k = -6 + 0.16k + -0.16k Combine like terms: -0.40k + -0.16k = -0.56k -10 + -0.56k = -6 + 0.16k + -0.16k Combine like terms: 0.16k + -0.16k = 0.00 -10 + -0.56k = -6 + 0.00 -10 + -0.56k = -6 Add '10' to each side of the equation. -10 + 10 + -0.56k = -6 + 10 Combine like terms: -10 + 10 = 0 0 + -0.56k = -6 + 10 -0.56k = -6 + 10 Combine like terms: -6 + 10 = 4 -0.56k = 4 Divide each side by '-0.56'. k = -7.142857143 Simplifying k = -7.142857143
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