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