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Simplifying 9 + -5k + k = 2k + -3 + 2k Combine like terms: -5k + k = -4k 9 + -4k = 2k + -3 + 2k Reorder the terms: 9 + -4k = -3 + 2k + 2k Combine like terms: 2k + 2k = 4k 9 + -4k = -3 + 4k Solving 9 + -4k = -3 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 9 + -4k + -4k = -3 + 4k + -4k Combine like terms: -4k + -4k = -8k 9 + -8k = -3 + 4k + -4k Combine like terms: 4k + -4k = 0 9 + -8k = -3 + 0 9 + -8k = -3 Add '-9' to each side of the equation. 9 + -9 + -8k = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -8k = -3 + -9 -8k = -3 + -9 Combine like terms: -3 + -9 = -12 -8k = -12 Divide each side by '-8'. k = 1.5 Simplifying k = 1.5
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