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Simplifying 6k + 9 = 10.5k Reorder the terms: 9 + 6k = 10.5k Solving 9 + 6k = 10.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10.5k' to each side of the equation. 9 + 6k + -10.5k = 10.5k + -10.5k Combine like terms: 6k + -10.5k = -4.5k 9 + -4.5k = 10.5k + -10.5k Combine like terms: 10.5k + -10.5k = 0.0 9 + -4.5k = 0.0 Add '-9' to each side of the equation. 9 + -9 + -4.5k = 0.0 + -9 Combine like terms: 9 + -9 = 0 0 + -4.5k = 0.0 + -9 -4.5k = 0.0 + -9 Combine like terms: 0.0 + -9 = -9 -4.5k = -9 Divide each side by '-4.5'. k = 2 Simplifying k = 2
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