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Simplifying 0.62k + -12.01 = 0.17k + -14.8 Reorder the terms: -12.01 + 0.62k = 0.17k + -14.8 Reorder the terms: -12.01 + 0.62k = -14.8 + 0.17k Solving -12.01 + 0.62k = -14.8 + 0.17k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.17k' to each side of the equation. -12.01 + 0.62k + -0.17k = -14.8 + 0.17k + -0.17k Combine like terms: 0.62k + -0.17k = 0.45k -12.01 + 0.45k = -14.8 + 0.17k + -0.17k Combine like terms: 0.17k + -0.17k = 0.00 -12.01 + 0.45k = -14.8 + 0.00 -12.01 + 0.45k = -14.8 Add '12.01' to each side of the equation. -12.01 + 12.01 + 0.45k = -14.8 + 12.01 Combine like terms: -12.01 + 12.01 = 0.00 0.00 + 0.45k = -14.8 + 12.01 0.45k = -14.8 + 12.01 Combine like terms: -14.8 + 12.01 = -2.79 0.45k = -2.79 Divide each side by '0.45'. k = -6.2 Simplifying k = -6.2
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