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Simplifying 6k + 10.5 = 3k + 12 Reorder the terms: 10.5 + 6k = 3k + 12 Reorder the terms: 10.5 + 6k = 12 + 3k Solving 10.5 + 6k = 12 + 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. 10.5 + 6k + -3k = 12 + 3k + -3k Combine like terms: 6k + -3k = 3k 10.5 + 3k = 12 + 3k + -3k Combine like terms: 3k + -3k = 0 10.5 + 3k = 12 + 0 10.5 + 3k = 12 Add '-10.5' to each side of the equation. 10.5 + -10.5 + 3k = 12 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + 3k = 12 + -10.5 3k = 12 + -10.5 Combine like terms: 12 + -10.5 = 1.5 3k = 1.5 Divide each side by '3'. k = 0.5 Simplifying k = 0.5
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