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Simplifying 3k + -2 = 5k + -9 Reorder the terms: -2 + 3k = 5k + -9 Reorder the terms: -2 + 3k = -9 + 5k Solving -2 + 3k = -9 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -2 + 3k + -5k = -9 + 5k + -5k Combine like terms: 3k + -5k = -2k -2 + -2k = -9 + 5k + -5k Combine like terms: 5k + -5k = 0 -2 + -2k = -9 + 0 -2 + -2k = -9 Add '2' to each side of the equation. -2 + 2 + -2k = -9 + 2 Combine like terms: -2 + 2 = 0 0 + -2k = -9 + 2 -2k = -9 + 2 Combine like terms: -9 + 2 = -7 -2k = -7 Divide each side by '-2'. k = 3.5 Simplifying k = 3.5
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