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Simplifying -3k + -8 = 2k + 13 Reorder the terms: -8 + -3k = 2k + 13 Reorder the terms: -8 + -3k = 13 + 2k Solving -8 + -3k = 13 + 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. -8 + -3k + -2k = 13 + 2k + -2k Combine like terms: -3k + -2k = -5k -8 + -5k = 13 + 2k + -2k Combine like terms: 2k + -2k = 0 -8 + -5k = 13 + 0 -8 + -5k = 13 Add '8' to each side of the equation. -8 + 8 + -5k = 13 + 8 Combine like terms: -8 + 8 = 0 0 + -5k = 13 + 8 -5k = 13 + 8 Combine like terms: 13 + 8 = 21 -5k = 21 Divide each side by '-5'. k = -4.2 Simplifying k = -4.2
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