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Simplifying 3 + -5k + k = -2k + -9 Combine like terms: -5k + k = -4k 3 + -4k = -2k + -9 Reorder the terms: 3 + -4k = -9 + -2k Solving 3 + -4k = -9 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 3 + -4k + 2k = -9 + -2k + 2k Combine like terms: -4k + 2k = -2k 3 + -2k = -9 + -2k + 2k Combine like terms: -2k + 2k = 0 3 + -2k = -9 + 0 3 + -2k = -9 Add '-3' to each side of the equation. 3 + -3 + -2k = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -2k = -9 + -3 -2k = -9 + -3 Combine like terms: -9 + -3 = -12 -2k = -12 Divide each side by '-2'. k = 6 Simplifying k = 6
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