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Simplifying 6k + -3.7 = 3k + 0.3 Reorder the terms: -3.7 + 6k = 3k + 0.3 Reorder the terms: -3.7 + 6k = 0.3 + 3k Solving -3.7 + 6k = 0.3 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -3.7 + 6k + -3k = 0.3 + 3k + -3k Combine like terms: 6k + -3k = 3k -3.7 + 3k = 0.3 + 3k + -3k Combine like terms: 3k + -3k = 0 -3.7 + 3k = 0.3 + 0 -3.7 + 3k = 0.3 Add '3.7' to each side of the equation. -3.7 + 3.7 + 3k = 0.3 + 3.7 Combine like terms: -3.7 + 3.7 = 0.0 0.0 + 3k = 0.3 + 3.7 3k = 0.3 + 3.7 Combine like terms: 0.3 + 3.7 = 4 3k = 4 Divide each side by '3'. k = 1.333333333 Simplifying k = 1.333333333
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