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Simplifying 0.75k + 5(k + -6) = 2 Reorder the terms: 0.75k + 5(-6 + k) = 2 0.75k + (-6 * 5 + k * 5) = 2 0.75k + (-30 + 5k) = 2 Reorder the terms: -30 + 0.75k + 5k = 2 Combine like terms: 0.75k + 5k = 5.75k -30 + 5.75k = 2 Solving -30 + 5.75k = 2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 5.75k = 2 + 30 Combine like terms: -30 + 30 = 0 0 + 5.75k = 2 + 30 5.75k = 2 + 30 Combine like terms: 2 + 30 = 32 5.75k = 32 Divide each side by '5.75'. k = 5.565217391 Simplifying k = 5.565217391
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