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Simplifying 0.750k + -28 + -0.667k = 37 Reorder the terms: -28 + 0.750k + -0.667k = 37 Combine like terms: 0.750k + -0.667k = 0.083k -28 + 0.083k = 37 Solving -28 + 0.083k = 37 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 0.083k = 37 + 28 Combine like terms: -28 + 28 = 0 0 + 0.083k = 37 + 28 0.083k = 37 + 28 Combine like terms: 37 + 28 = 65 0.083k = 65 Divide each side by '0.083'. k = 783.1325301 Simplifying k = 783.1325301
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