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Simplifying 10 = 3k + 6.5 Reorder the terms: 10 = 6.5 + 3k Solving 10 = 6.5 + 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. 10 + -3k = 6.5 + 3k + -3k Combine like terms: 3k + -3k = 0 10 + -3k = 6.5 + 0 10 + -3k = 6.5 Add '-10' to each side of the equation. 10 + -10 + -3k = 6.5 + -10 Combine like terms: 10 + -10 = 0 0 + -3k = 6.5 + -10 -3k = 6.5 + -10 Combine like terms: 6.5 + -10 = -3.5 -3k = -3.5 Divide each side by '-3'. k = 1.166666667 Simplifying k = 1.166666667
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